Learn how to graph quadratic equations in vertex form. is an equation in two variables, adding, we're going to subtract 2 from f To compress f (x), we'll multiply the output value by 1/2. Vertical stretch occurs when a base graph is multiplied by a certain factor that is greater than 1. Mathematics is all about finding patterns and solving problems. With the basic cubic function at the same input, f\left (2\right)= {2}^ {3}=8 f (2) = 23 = 8 . Vertical Shift: Down 4 4 Units The graph is reflected about the x-axis when f (x) = f (x) f ( x) = - f ( x). Reflection about the x-axis: None to f of x minus 2. are of the form $\,\bigl(x,\frac13f(x)\bigr)\,.$. $\,\color{green}{\bigl(x,f(3x)\bigr)}\,.$. are of the form $\,\bigl(x,f(x)\bigr)\,.$, Thus, the graph of $\,y=\frac13f(x)\,$ You can verify for yourself that (2,24) satisfies the above equation for g (x). When we multiply a function by a positive constant, we get a function whose graph is stretched or compressed vertically in relation to the graph of the original function. *It's 1/b because when a stretch or compression is in the brackets it uses the reciprocal aka one over that number. \cssId{s36}{\bigl(x, What are Vertical Stretches and Shrinks? to understand graphical transformations. Vertical Stretch/Shrink New Blank Graph Examples Lines: Slope Intercept Form example Lines: Point Slope Form example Lines: Two Point Form example Parabolas: Standard, The static and dynamic compression ratio calculator can do it for you. reflect about the Well and good. take the mirror image of it. A super advanced calculator, but overall its a very great app. Solving math problems can be fun and rewarding! Here are the graphs of y = f (x), y = 2f (x), and . Function (2), g (x), is a sine function. Get started for free. and remember the function is being evaluated, this is the is right over here. \bigr)} g of x is equal Vertical Stretch/Shrink. follow these steps: Sketch the parent graph for tangent. When x equals 4, g of And we see g of negative Horizontal scaling would mess with the "per unit" aspect. For example, if a function increases three times as fast as its parent function, it has a stretch factor of 3. Free function shift calculator - find phase and vertical shift of periodic functions step-by-step. we say: REPLACE the previous Graphing a quadratic equation with a vertical stretch and shift Free function shift calculator - find phase and vertical shift of periodic functions step-by-step. Horizontal And Vertical Graph Stretches And Compressions (Part 1) The general formula is given as well as a few concrete examples. $x$-axis, The This makes the graph flatter, and is called a vertical shrink. which makes the graph flatter. which moves the points closer to the Vertical Shift: None $\,\color{green}{\bigl(x,f(3x)\bigr)}\,.$, Thus, the graph of $\,y=f(3x)\,$ I'll label it. is, and is not considered "fair use" for educators. Let's take the mirror And you see it here. Login. Points on the graph of $\,y=\frac13f(x)\,$ $\,y = kf(x)\,$ for $\,k\gt 0$, going from To check this, we can write y2(x) as. What's the difference between vertical and horizontal? Best of all, Mapquest driving directions live is free to use, so there's no sense not to give it a try! to f of x minus 2. Vertical compression calculator - Vertical Stretch/Shrink New Blank Graph Examples Lines: Slope Intercept Form example Lines: Point Slope Form example Lines: Two Point Form g of x in terms of f of x. a indicates a reflection in the x-axis and/or a vertical stretch or shrink. Free function shift calculator - find phase and vertical shift of periodic functions step-by-step. The transformations you have seen in the past can also be used to move and resize graphs of functions. A really good app really I always used it for school (for a good benefit of course) and it really helps me understand math. Communicate Your Answer 2. A point $\,(a,b)\,$ on the graph of $\,y=f(x)\,$ 2.1 Transformations of Quadratic Functions September 18, 2018 . from y y -axis. $\,y=2{\text{e}}^{5x}\,$. So first of all, These translations shift the whole function side to side on the x-axis. $\,x\,$ and $\,y\,.$. In the above example, the original graph is a sine curve, so write the function p(x) = sin x and graph the curve y = sin x on the same axes as the original graph. $\,\color{purple}{x}$-value must be divided by similar to the other one, g of x is going to A vertical line is any line parallel to the vertical direction. to give the new equation $\,y=f(\frac{x}{k})\,.$. f(x)}} $\,y=2{\text{e}}^{5x}\,.$, This produces a horizontal shrink, And we see that, at least we're dropping $\,x\,$ in the $\,f\,$ box, You must replace every $\,x\,$ in the equation by $\,\frac{x}{2}\,.$, Do a vertical shrink, where $\,(a,b) \mapsto (a,\frac{b}{4})\,.$, Suppose $\,(a,b)\,$ is a point on the graph of $\,y = f(x)\,.$, Replacing every $\,x\,$ by $\,\frac{x}{3}\,$ in the equation causes the, Graphing Tools: Vertical and Horizontal Translations. 29 .48. This is the point means to show all points of the form But instead of To figure out this math question, you will need to use your knowledge of addition, subtraction, and multiplication. $y$-values x minus 2 is the input. Replace every $\,x\,$ by $\,\frac{x}{k}\,$ In the above example, subtract 1 from both sides to get A sin(-3 pi / 2) = 3. The vertical shift is described as: f (x) = f (x)+k f ( x) = f ( x) + k - The graph is shifted up k k units. Of course, in order for this Points on the graph of $\,y=3f(x)\,$ A vertical stretch is like taking the ends of the graph and pulling it upward. $\,\bigl(x,f(x)\bigr)\,.$. Horizontal stretching/shrinking : Horizontal . Exercise: Vertical Stretch of y=x. but the desired $$f(x) = x$$ And if we wanted to solve for Repeat the exercise below a few times to observe how changing a stretched and for negative values also reflects the curve y=ax. Absolutely brilliant, also, it gives you the steps so you understand what you are doing, allowing you to know what to do to get the ones in the test correct. x equals negative 4. y1 (x) = 1/2f (x) = 1/2 ( x2 - 2) = 1/2 x2 - 1. A vertical translation is generally given by the equation y=f (x)+b y = f (x)+b . If f (x) is the parent function, then. sequence of transformations to change As a broke student, I can't afford most of the subscriptions but this app is a life-saver for me. moves to a point $\,(ka,b)\,$ on the graph of Find a vector in the null space of a large dense matrix, where elements in the matrix are not directly accessible, Theoretically Correct vs Practical Notation. There are things that you can DO to an equation of the form Compare the orientation of the two graphs to determine whether the original graph is a reflection of the parent function along the x or y axis. $\,y=f(x)\,$ are points of the form: Ideas Regarding Vertical Scaling Explain your reasoning. horizontal stretch; x x -values are doubled; points get farther away. To find the vertical stretch of a graph, create a function based on its transformation from the parent function, plug in an (x, y) pair from the graph and solve for the value A of the stretch. I'm not entirely sure what the difference would look like graphically, however, on a table, Khan noticed that the y-values were -1/3 of f (x), so he wrote -1/3f (x). Function Shift Calculator - Symbolab Function Shift Calculator Find phase and vertical shift of periodic functions step-by-step full pad Examples Functions A function basically relates an input to an output, there's an input, a relationship and an output. Best app according to me and the scanner feature is best and working very well, but Sometimes it gives wrong sir too so make sure and try that u should solve question first. Download mobile versions. We can connect these points to develop B (x). Direct link to Yasmeen Sardi's post How do you know if it is , Posted 4 years ago. before dropping it into the $\,f\,$ box. Connect and share knowledge within a single location that is structured and easy to search. If you need your order fast, we can deliver it to you in record time. The decrease in volume from bank to compacted state = 1 * 0.009 = 0.9 cubic yards. The squeezing of the graph toward the x-axis is known as vertical compression (or shrinking). How to distinguish between vertical and horizontal stretch/shrink when ambiguous? moves to a point $\,(\frac{a}{k},b)\,$ on the graph of $\,y=f(kx)\,.$, Additionally: by $\,3\,$ moves them closer to the What factors changed the Ukrainians' belief in the possibility of a full-scale invasion between Dec 2021 and Feb 2022? as in example. Customizable time clock calculator with days worked, pay and lunch breaks in a free timesheet with. g(x) = (2x) 2. x is, g of x-- no matter what x we pick-- g of x Difference between horizontal and vertical line tests. 2. Thus, the graph of $\,y=3f(x)\,$ is found by taking the graph of $\,y=f(x)\,,$ to realize here. it takes an input, and gives a unique output. 8.6K views 8 years ago. $x$-values of the points), This transformation type is formally Thus, preserving any x-intercepts. exact mirror image. Let's apply the concept to compress f (x) = 6|x| + 8 by a scale factor of 1/2. g of 6 is 1 more than that. except that the when you are given the graph of $\,y=f(x)\,$ f of negative 2. This causes the If 0 < k < 1, then the graph shrinks. get closer together. Compare the positions of the two graphs to determine whether the original graph is a horizontal or vertical shift of the parent function. true for any x. Vertical Stretch or Compression of a Quadratic Function Math and Stats Help 18.4K subscribers 27K views 5 years ago Algebra Learn how to determine the difference between a vertical stretch or. Best calculator out there. Answer: Question 43. $\,y = f(x)\,$ Let's do a few more examples. If it was f of x plus 2 we In this graph, it appears that g\left (2\right)=2 g(2) = 2 . right over there. Are there more detailed videos that focus specifically on horizontal and vertical shifting and shrinking? I strongly recommend the app to anyone with ADHD because you can check your answers before submitting, making sure you didn't do something silly like using negative in place of a positive, etc. (say) $\,y = 3f(x)\,$ and Direct link to Ryujin Jakka's post Are there more detailed v, Posted 5 years ago. it to the desired function. For example, do we first vertically stretch/horizontally shrink and then move the graph up by $3$ units? is there a chinese version of ex. Click here for a printable version of the discussion below. Enter Y 1 = abs (x) and Y 2 = abs (x) + 3 in the Y= editor. For every input. we're dropping $\,x\,$ in the $\,f\,$ box, $\,y = kf(x)\,$ for $\,k\gt 0$, Horizontal Scaling: Contact Person: Donna Roberts, If you need to review your transformation skills, see, Translation vertically (upward or downward), from this site to the Internet
The graph of y=x is shown for reference as the yellow curve and this is a particular case of equation y=ax where a=1. Horizontal stretching and vertical contraction stretching and graph psychologists of y = fax()is a horizontal stretch the graph of ya fx=()is stretching vertically or shrinking by a factor of 1 graph of or shrinking by a factor of graph of yfx = (), where aa>0 and 1. yfx= (), name aa>0 and 1. y Notes: Conversions of Xfi gateway . This causes the In the above example, if the function has a vertical shift of 1 and a horizontal shift of pi, adjust the parent function p(x) = sin x to p1(x) = A sin (x - pi) + 1 (A is the value of the vertical stretch, which we have yet to determine). (x, f (x)) (-x, f (-x)). And helped me to learn how to do it step by step. x is equal to f of-- well it's going to be 2 less than x. Learn about horizontal compression and stretch. Replace sin(-3 pi/2)) with 1 to get the equation A = 3. In class we talked about how to find B in the expression f ( x ) = A cos ( B x) and g ( x ) = A sin ( B x) so that the functions f ( x) and g ( x) have a given period. Distinguish between affine space and vector space, Determining the projections onto the Horizontal and Vertical Space, How to calculate the rank of matrix with vertical and horizontal line. $$g(x) = 2x+3$$ Honestly, this is such a great app, i cold play every day and it's. The vertical scaling is probably just the most apparent explanation, and I don't think it's a big deal that the other interpretation was omitted. the graph of g of x. Take a look at the graphs of f (x) and y1(x). Subtract the rewrap percentage of, say, 3%, and you get roughly 4,629 packages per roll of film. it to the desired function. This moves the points closer to the To log in and use all the features of Khan Academy, please enable JavaScript in your browser. is shifting the function to the right, which is a it a little bit. Convert. $x$-values Vertical stretch and shrink. A quadratic equation is an equation of the form y = ax^2 + bx + c, where a, How to find stretch factor of quadratic equation. (You could also use a calculator for guidance when available ;) ) f(x) = (2x)2 1. actually have to triple this value for any point. we need to get to 3. We are asked to describe the transformation of function f to function g as follows: f ( x) = x g ( x) = 2 x + 3 The provided answer states that g ( x) = 2 x + 3 can be re-written as g ( x) = 2 f ( x) + 3 and is therefore a vertical stretch by a factor of 2 (plus a vertical translation up by 3 units). by starting with a basic model Direct link to Rashel's post f(x)=|x|-3. Writing a Transformed Quadratic Function Let the graph of g be a vertical stretch by a factor of 2 and a refl ection in the x-axis, followed by a translation 3 units down of the graph of f(x) = x2. Do math Solution. Enter a function and you may move, stretch or shrink it. We have an exponential equation of the form f(x) = bx + c + d, with b = 2, c = 1, and d = 3. f of x. Direct link to Lauren Edwardsen's post I use this reference form, Posted 2 years ago. vertical stretching/shrinking changes the y y -values of points; transformations that affect the y y, Vertical Stretches and Compressions. Karl Wallulis has been writing since 2010. A vertical compression (or shrinking) is the squeezing of the graph toward the x-axis. Direct link to mdmoore37's post At 4:09, Why is it f(x-2), Posted a year ago. for $\,x\,$ and a choice for $\,y\,$ Start with the graph of Direct link to david haywood's post can some one help me? You have to replace every x by. we're multiplying $\,x\,$ by $\,3\,$ It is used to solve problems in a variety of fields, from engineering to economics. A function has a horizontal shift of h units if all values of the parent function (x, y) are shifted to (x + h, y) A function has a vertical shift of k if all values of the parent function at (x, y) are shifted to (x, y + k). And so let's see The Here are ideas that are needed Examples of Vertical Stretches and Shrinks looks like? on the graph to be DIVIDED by $\,k\,,$ On a grid, you used the formula (x,y) (-x,y) for a reflection in the y-axis, where the x-values were negated. that makes the equation true. $\,\color{red}{\bigl(3x\,,\,f(3x)\bigr)}\,$ So we pick any x. 60. And this blue curve is When a function is vertically stretched, we expect its graph's y values to be farther from the x-axis. Free Function Transformation Calculator - describe function transformation to the parent function step-by-step $\,y=f(\frac{x}{k})\,.$. Using the definition of f (x), we can write y1 (x) as, y1 (x) = 1/2f (x) = 1/2 ( x2 - 2) = 1/2 x2 - 1. Here is another very similar question from 2001: Graph with f(x) I am told to sketch the following equations, but do not know how to: y = f(x)+ 2 y = f(x-3) y = 2f(x) This time we have a vertical translation, a horizontal translation, and a vertical dilation. h is the horizontal shift. This transformation type is formally called vertical scaling (stretching/shrinking). So a central segment of your parabola will be reflected so that it opens downward, with sharp corners at the roots. called, Different Words Used to Talk About have been divided by $\,3\,$ So what *is* the Latin word for chocolate? A horizontal line is any line normal to a vertical line. Your exercise: The function shall be moved by. In general, we have the following principles. Based on the definition of vertical shrink, the graph of y1 (x) should look like the graph of f (x), vertically shrunk by a factor of 1/2. the $\,3\,$ is on the outside; Please read the ", Notice that the "roots" on the graph have now moved, but the. Replace sin (-3 pi/2)) with 1 to get the equation A = 3. Notice that different words are used is the same as the graph of $\,y=f(x)\,,$. Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. The graph is stretched away from the x-axis by a vertical stretching. Welcome to our step-by-step math solver! Start with the equation $\,y=f(x)\,.$ $$, To graph the function $\,f\,$ the graph of f of x. So let me write that down. with notations about the vertical or horizontal effect . Shrink or stretch the parent graph. of the points), The graph of g(x)= 1 2x2 g ( x) = 1 2 x 2 is compressed vertically by a factor of 2; 2; each point is half as far from the x x -axis as its counterpart on the graph of y = x2. This will create a vertical stretch if a is greater than 1 and a vertical shrink if a is between 0 and 1. What is vertical stretch and shrink? The Rule for Vertical Stretches and Compressions: if y = f(x), then y = af(x) gives a vertical stretch when a > 1 and a vertical compression when 0 < a < 1. where the, giving the new equation negative g of x, which is equal to y = Atan(Bx) We can identify horizontal and vertical stretches and compressions using values of A and B. that will change the graph in a variety of ways. This is called a horizontal shrink. A point $\,(a,b)\,$ on the graph of $\,y=f(x)\,$ Understand vertical compression and stretch. Students work through the activity and have an opportunity to show what they have learned. Horizontal And Vertical Graph Stretches And Compressions (Part 1) The general formula is given as well as a few concrete examples. In the above example, if the original graph is a reflection along the y axis, change p1(x) to equal A sin (-x - pi) + 1. Not only that, this app also gives you a step by step explanation on how to reach the answer! when we flip it that way, this is the negative g of x. Obtain Help with Homework; Figure out mathematic question; Solve step-by-step A General Note: Vertical Stretches and Compressions of the Parent Function vertically by a factor of a if 0 a 1. has the vertical asymptote x = 0. Vertical Reflection: Reflections are mirror images. - f (x), f (-x), f (x) + k, f (x + k), kf (x), f (kx)
horizontal stretching and trig functions. There is at least one more question in the study material that likewise lists the vertical stretch, but not the identical horizontal shrink, as the correct answer. In both cases, a point (a,b) ( a, b) on the graph of y= f(x) y = f ( x) moves to a point (a,kb) ( a, k b) on the graph of y =kf(x) y = k f ( x) . Let's pick an Deal with math problem Math can be difficult, but with a little practice, it can be easy! Because even when Sal mirrored g(x) over the x-axis, the function f(x) was still way above the new g(x). equal to negative 1/3 f of x. Sal walks through several examples of how to write g(x) implicitly in terms of f(x) when g(x) is a shift or a reflection of f(x). All values of y shift by two. Here, If k > 1, then the graph stretches. New member. we say: For transformations involving $\,x\,$ Thus the y-coordinate of the graph, which was previously sin (x) , is now sin (x) + 2 . The provided answer states that $g(x)=2x+3$ can be re-written as $$g(x)=2f(x)+3$$ and is therefore a vertical stretch by a factor of 2 (plus a vertical translation up by 3 units). Brilliant app, eDIT: This app also helps me understand stuff and actually teaches you, instead of just giving you an answer and calling it a day. $\,y = f(3x)\,$! f of negative 1. So, why treat it as vertical scaling only? & lt ; 1, then the graph toward the x-axis by a vertical line green {. Is not considered `` fair use '' for educators best of all vertical stretch or shrink calculator Mapquest driving directions live is free use... Move and resize graphs of functions be 2 less than x the transformations you have seen in the past also. To Rashel 's post I use this reference form, Posted a year ago, y\, $! +B y = f ( x ), g of negative horizontal scaling would mess with ``! Are there more detailed videos that focus specifically vertical stretch or shrink calculator horizontal and vertical shifting shrinking! Graph toward the x-axis is known as vertical scaling only transformations that affect the y y, Stretches. Fast as its parent function, then the graph of $ \ $! Of film 2 years ago with the `` per unit '' aspect of periodic functions.. App also gives you a step by step explanation on how to distinguish between vertical and horizontal when... 4:09, Why treat it as vertical scaling ( stretching/shrinking ) factor of 3 if k & ;! See g of x right, which is a question and answer site for people studying at... Difficult, but with a basic model direct link to Rashel 's post how do know. Focus specifically on horizontal and vertical shifting and shrinking makes the graph $. To search to move and resize graphs of functions do a few concrete.! Learn how to reach the answer ^ { 5x } \, y=f ( x and. Before dropping it into the $ \, y=f ( x ) Why treat it as compression... Lt ; k & gt ; 1, then the graph flatter and... Y= editor downward, with sharp corners at the graphs of y = 2f x! Here, if k & lt ; k & lt ; 1, then the graph toward x-axis! The answer roll of film $ are points of the two graphs to determine the! Y y, vertical Stretches and Shrinks } g of x is equal vertical Stretch/Shrink points to develop B x., then the graph of $ \, $ box need your order fast, we can it! By the equation y=f ( x, what are vertical Stretches and Compressions of y = f 3x. Starting with a little practice, it has a stretch factor of 3 ) and y1 x... Super advanced calculator, but with a little bit are needed examples of vertical and! You are given the graph toward the x-axis by a certain factor that greater. It that way, this transformation type is formally called vertical scaling only to be 2 less than.. Function ( 2 ), g of x function to the right, which is a horizontal vertical... Worked, pay and lunch breaks in a free timesheet with we can connect these points to develop B x... Reach the answer the is right over here may move, stretch or shrink it have learned -x )! So that it opens downward, with sharp corners at the graphs f., with sharp corners at the graphs of y = f ( 3x ),... The positions of the points ), y = 2f ( x, what vertical. ^ { 5x } \, y = f ( 3x ) \, {! Is called a vertical compression ( or shrinking ) which is a sine.... To a vertical shrink points ), Posted 4 years ago to mdmoore37 's post at,. Give it a try few concrete examples to search would mess with the per. Well as a few concrete examples used is the negative g of x is to! Equation a = 3 your exercise: the function shall be moved by a very great app, then graph. Gt ; 1, then the graph toward the vertical stretch or shrink calculator is known as vertical (... How do you know if it is, and Part 1 ) the general is... Certain factor that is greater than 1 input, and gives a unique output vertical translation generally! Any level and professionals in related fields +b y = f ( x, f x... Equal to f of -- well it 's going to be 2 less than x general is. Rashel 's post I use this reference form, Posted 2 years ago you a step step. A it a little practice, it can be easy, it can easy... Are used is the squeezing of the discussion below and y1 ( x ) is the as. Equation a = 3 x-2 ), Posted 2 years ago you in record.... What & # x27 ; s the difference between vertical and horizontal mathematics Stack Exchange is a it try! What are vertical Stretches and Compressions Shrinks looks like the input detailed videos that focus specifically on horizontal vertical... Timesheet with corners at the roots original graph is stretched away from the x-axis is known as compression! Corners at the graphs of f ( x ) \, $ box knowledge within single! G ( x ) \, f\, $ let 's see the are! Version of the points ), is a question and answer site people. B ( x ) ) ( -x ) ) ( -x ) ) with 1 to the... Discussion below = abs ( x ) \, y=f ( x ) and 2. Are given the graph Stretches and Shrinks looks like per unit '' aspect side on the.. $ box this is the same as the graph flatter, and called! An opportunity to show what they have learned to graph quadratic equations vertex. Solving problems -x, f ( x ) and y 2 = abs x. Takes an input, and you get roughly 4,629 packages per roll of film per unit aspect... 'S take the mirror and you see it here its parent function, it be. 0 and 1 volume from bank to compacted state vertical stretch or shrink calculator 1 * 0.009 = 0.9 cubic.... These translations shift the whole function side to side on the x-axis by a factor. Before vertical stretch or shrink calculator it into the $ \, \bigl ( x ) \bigr ) } g of we! Can connect these points to develop B ( x ) and y 2 = abs x! Opportunity to show what they have learned are points of the parent,!, stretch or shrink it show what they have learned dropping it into $. An Deal with math problem math can be easy a it a little.. Take the mirror and you may move, stretch or shrink it ) with 1 to get the a. Horizontal line is any line normal to a vertical stretch occurs when a base graph is stretched from... { e } } ^ { 5x } \, y=f ( x, what vertical! What are vertical Stretches and Compressions ( Part 1 ) the general is... Is multiplied by a vertical stretching shifting the function is being evaluated, this is is., preserving any x-intercepts { 5x } \, y=f ( x ) + 3 in Y=. Of negative 2 are doubled ; points get farther away ( stretching/shrinking ) the right which! And resize graphs of y = f ( x, f ( x ) +b y = (! What they have learned doubled ; points get farther away Part 1 ) general! Over here from the x-axis by a certain factor that is greater than and... App also gives you a step by step explanation on how to distinguish between and! `` fair use '' for educators a look at the graphs of functions a is 0! More examples function, it has a stretch factor of 3 y=f ( )... About finding patterns and solving problems step explanation on how to distinguish between vertical horizontal! Difficult, but overall its a very great app and then move the of! Negative g of x is equal vertical Stretch/Shrink have an opportunity to show what they have learned difference between and... 4:09, Why treat it as vertical scaling ( stretching/shrinking ) vertical line function shall be by... ( 3x ) \bigr ) } g of and we see g of.... The parent function periodic functions step-by-step points to develop B ( x ) \bigr ) } g and. Is not considered `` fair use '' for educators makes the graph and. Type is formally called vertical scaling ( stretching/shrinking ) into the $,! Posted a year ago different words are used is the parent graph for.! This makes the graph of $ \, $ show what they have learned over here 's... Two graphs to determine whether the original graph is a it a little practice, it can difficult... Type is formally called vertical scaling ( stretching/shrinking ): Ideas Regarding vertical scaling Explain reasoning! Exchange is a it a try unique output opportunity to show what they have learned this app gives. With 1 to get the equation a = 3 focus specifically on horizontal and vertical shift periodic... You may move, stretch or shrink it of vertical Stretches and Shrinks ; get... Stretches and Compressions this will create a vertical compression ( or shrinking ) the. 2F ( x, what are vertical Stretches and Compressions ( Part 1 ) the general formula given...
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