Graphing Stretches And Compressions

A compression is a transformation that moves each point of a graph closer to the x x x - or y y y-axis by a scale factor that is between zero and 1. When the output of the parent function is multiplied by a positive constant, the graph stretches or compresses vertically.

https://www.coursehero.com/sg/college-algebra/transformations-of-graphs/

Graphing Stretches and Compressions of y = log b (x) When the parent function is multiplied by a constant the result is a vertical stretch or compression of the original graph . To visualize stretches and compressions , we set and observe the general graph of the parent function alongside the vertical stretch , and the vertical compression , See .

https://opentextbc.ca/precalculusopenstax/chapter/graphs-of-logarithmic-functions/

Timestamps for Examples -Intro – 0:00Example 1 – 1:02Example 2 – 11:34Example 3 – 17:37Example 4 – 21:23Example 5 – 35:09Example 6 – 42:10Example 7 – 45:31Ex

https://www.youtube.com/watch?v=_yLD09c4QQY

•If k gt; 1, the graphs are horizontally compressed by a factor of •If 0 lt; k lt; 1, the graphs are horizontally stretched by a factor of •Amplitude is unchanged •Period becomes Graphing Horizontal stretches compressions using the 5#173;Point ...

https://teachers.wrdsb.ca/simpsonnotes/files/2014/11/MCR-3UI-U6-D4-Horiztonal-Stretches-complete-2015.pdf

Graphing Functions Using Stretches and Compressions Horizontal Stretches and Compressions Now we consider changes to the inside of a function. When we multiply a function's input by a positive constant, we get a function whose graph is stretched or compressed horizontally in relation to the graph of the original function.

https://www.coursehero.com/tutors-problems/Algebra/35271764-Graphing-Functions-Using-Stretches-and-Compressions-Horizontal/

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Section 17.69 Graphical Transformations - Stretches , Compressions , and Reflections Figure 17.69.1. Practice Stretch /Compress/Reflect Transformations: Enter the coordinates for the shifted points A, B, C and then click quot;Show Transformed Curvequot; to check your answer.

https://spot.pcc.edu/slc/mathresources/output/html/geogebra-stretch-squish-and-reflect.html

Graphing Using Stretches and Compressions EXAMPLE . 3 Graph Functions Using Reflections about . When the right side of the function y /'(x) is multiplied by —l, the graph of — —f (x) is the reflection about the x-axis of the graph of the new function y — the function y = f(x).

https://info.montgomerycollege.edu/_documents/faculty/fkatiraie/math165/ppt/section-2.6.pdf

A horizontal stretching is the stretching of the graph away from the y-axis. A horizontal compression (or shrinking) is the squeezing of the graph toward the y-axis. • if k gt; 1, the graph of y = f (k•x) is the graph of f (x) horizontally shrunk (or compressed) by dividing each of its x-coordinates by k.

https://www.massgymnastics.org/stretching/how-can-horizontally-stretching-the-graph-of-f-x-x3-by-a-factor-of-b-can-be-solution-found.html

Graphing Stretches and Compressions of y = log b (x) When the parent function f (x) = log b (x) f (x) = log b (x) is multiplied by a constant a gt; 0, a gt; 0, the result is a vertical stretch or compression of the original graph .

https://openstax.org/books/algebra-and-trigonometry/pages/6-4-graphs-of-logarithmic-functions

Graphing Stretches Compressions and Reflections of the Parent Square Root Function The equation y av'#177;, where a is a constant, is the parent square root function with a vertical stretch or compressior Ifthe absolute value of a is less than I the graph will be compressed by a factor of lal, and if the absolute value of

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Horizontal stretches and compressions are remarkably similar for all functions. Use a graphing calculator to graph the functions Y 1 = sin x and Y 2 = sin(2x) on a 7:ZTrig screen ( graph Y 1, in bold).Note that Y 2 completes two periods in the time it takes Y 1 to complete 1 period (the graph of Y 2 is horizontally compressed). Now enter Y 1 = (x 2 −1)(x 2 − 4) and Y 2 = ([2x] 2 −1)([2x

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Lorentz transformation - Wikipedia Graph functions using vertical and horizontal shifts. Graph functions using reflections about the x x-axis and the y y-axis. Determine whether a function is even, odd, or neither from its graph . Graph functions using compressions and stretches . Combine transformations.

https://schoolclosures.calmatters.org/1%20using%20transformations%20to%20graph%20quadratic%20functions%20pdf

The value of describes the vertical stretch or compression of the graph . is a vertical stretch (makes it narrower) is a vertical compression (makes it wider) Vertical Compression or Stretch : None. To find the transformation, compare the two functions and check to see if there is a horizontal or vertical shift,

https://www.mathway.com/popular-problems/Algebra/720278

SHOWING THESE GRAPHS Below, we summarize our conclusions about vertical stretches and compressions : Summary Vertical Stretches and Compressions : Compared with the graph of y f x(), the graph of y a f x () is stretched vertically by a factor of a if a! 1. compressed vertically by a factor of a if 01 a. If a 0 then the graph is also reflected

https://spot.pcc.edu/~phaberma/MTH_111/Lecture_Notes/SectionI_Functions_and_their_Graphs/Unit7_Graph_Trans__Reflections_Stretches_Compressions/Unit7_Graph_Trans__Reflections_Stretches_Compressions.pdf

Section 17.69 Graphical Transformations - Stretches , Compressions , and Reflections Figure 17.69.1. Practice Stretch /Compress/Reflect Transformations: Enter the coordinates for the shifted points A, B, C and then click "Show Transformed Curve" to check your answer.

https://spot.pcc.edu/slc/mathresources/output/html/geogebra-stretch-squish-and-reflect.html