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Transformations of Functions>
Horizontal Dilations - Scale Factor>
Horizontal Dilations – Scale FactorHorizontal Dilations – Scale Factor
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Question 1 of 7
1. Question
Apply the horizontal dilation (stretch/shrink) scale factor of 44 to the function y=2xy=2x.
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A Dilation is to stretch or to shrink the shape of a curve.
Horizontal dilations (stretch/shrink) of a function are written in the form y=f(ax)y=f(ax). To find aa, use the formula a=1Factora=1Factor or Factor=1aFactor=1a.Alternatively, we can take the xx component of the function and divide it by the horizontal dilation factor: xFactor xFactorTo obtain the equation of the function after the horizontal dilation (stretch/shrink), first solve for aa where the Factor=4Factor=4. Factor of 44 means it is stretched 44 times as wide horizontally. Use the formula a=1Factora=1Factor.This gives a=1Factor=14a=1Factor=14.y=y= 214×x214×x Write the new equation using y=2axy=2ax and a=14a=14. Remember horizontal dilations of a function are written in the form y=f(ax)y=f(ax). y=y= 2x42x4 y=2x4y=2x4 -
Question 2 of 7
2. Question
Apply the horizontal dilation (stretch/shrink) scale factor of 1212 to the function y=√xy=√x.
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A Dilation is to stretch or to shrink the shape of a curve.
Horizontal dilations (stretch/shrink) of a function are written in the form y=f(ax)y=f(ax). To find aa, use the formula a=1Factora=1Factor or Factor=1aFactor=1a.Alternatively, we can take the xx component of the function and divide it by the horizontal dilation factor: xFactor xFactorTo obtain the equation of the function after the horizontal dilation (stretch/shrink), first solve for aa where the Factor=12Factor=12. Factor of 1212 means it is compressed half as wide horizontally. Use the formula a=1Factora=1Factor.This gives a=1Factor=112=2a=1Factor=112=2.y=y= √2×x√2×x Write the new equation using y=√axy=√ax and a=2a=2. Remember horizontal dilations of a function are written in the form y=f(ax)y=f(ax). y=y= √2x√2x y=√2xy=√2x -
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Question 3 of 7
3. Question
Apply the horizontal dilation (stretch/shrink) scale factor of 1212 to the function y=2xy=2x.
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Chapters- Chapters
Horizontal dilations of a function are written in the form y=f(ax)y=f(ax). To find aa, use the formula a=1Factora=1Factor or Factor=1aFactor=1a.Alternatively, we can take the xx component of the function and divide it by the horizontal dilation factor: xFactor xFactorTo obtain the equation of the function after the horizontal dilation, first solve for aa where the Factor=12Factor=12. Factor of 1212 means it is compressed half as wide horizontally. Use the formula a=1Factora=1Factor.This gives a=1Factor=112=2a=1Factor=112=2.y=y= 22×x22×x Write the new equation using y=2axy=2ax and a=2a=2. Remember horizontal dilations of a function are written in the form y=f(ax)y=f(ax). y=y= 22x22x y=22x -
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Question 4 of 7
4. Question
Apply the horizontal dilation (stretch/shrink) scale factor of 3 to the function y=x3.
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Need TextPlayCurrent Time 0:00/Duration Time 0:00Remaining Time -0:00Stream TypeLIVELoaded: 0%Progress: 0%0:00Fullscreen00:00MutePlayback Rate1x- 2x
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Subtitles- subtitles off
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- English
Chapters- Chapters
A Dilation is to stretch or to shrink the shape of a curve.
Horizontal dilations (stretch/shrink) of a function are written in the form y=f(ax). To find a, use the formula a=1Factor or Factor=1a.Alternatively, we can take the x component of the function and divide it by the horizontal dilation factor: xFactorTo obtain the equation of the function after the horizontal dilation (stretch/shrink), first solve for a where the Factor=3. Factor of 3 means it is stretched 3 times as wide horizontally. Use the formula a=1Factor.This gives a=1Factor=13.y= (13×x)3 Write the new equation using y=(ax)3 and a=13. Remember horizontal dilations of a function are written in the form y=f(ax). y= (x3)3 y=(x3)3 -
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Question 5 of 7
5. Question
Apply the horizontal dilation (stretch/shrink) scale factor of 6 to the function y=log(x).
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Need TextPlayCurrent Time 0:00/Duration Time 0:00Remaining Time -0:00Stream TypeLIVELoaded: 0%Progress: 0%0:00Fullscreen00:00MutePlayback Rate1x- 2x
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- 1.25x
- 1x
- 0.75x
- 0.5x
Subtitles- subtitles off
Captions- captions off
- English
Chapters- Chapters
A Dilation is to stretch or to shrink the shape of a curve.
Horizontal dilations (stretch/shrink) of a function are written in the form y=f(ax). To find a, use the formula a=1Factor or Factor=1a.Alternatively, we can take the x component of the function and divide it by the horizontal dilation factor: xFactorTo obtain the equation of the function after the horizontal dilation (stretch/shrink), first solve for a where the Factor=6. Factor of 6 means it is stretched 6 times as wide horizontally. Use the formula a=1Factor.This gives a=1Factor=16.y= log(16×x) Write the new equation using y=log(ax) and a=16. Remember horizontal dilations of a function are written in the form y=f(ax). y= log(x6) y=log(x6) -
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Question 6 of 7
6. Question
Apply the horizontal dilation (stretch/shrink) scale factor of 18 to the function y=log(x).
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Great Work!
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Need TextPlayCurrent Time 0:00/Duration Time 0:00Remaining Time -0:00Stream TypeLIVELoaded: 0%Progress: 0%0:00Fullscreen00:00MutePlayback Rate1x- 2x
- 1.5x
- 1.25x
- 1x
- 0.75x
- 0.5x
Subtitles- subtitles off
Captions- captions off
- English
Chapters- Chapters
A Dilation is to stretch or to shrink the shape of a curve.
Horizontal dilations (stretch/shrink) of a function are written in the form y=f(ax). To find a, use the formula a=1Factor or Factor=1a.Alternatively, we can take the x component of the function and divide it by the horizontal dilation factor: xFactorTo obtain the equation of the function after the horizontal dilation (stretch/shrink), first solve for a where the Factor=18. Factor of 18 means it is compressed 18 as wide horizontally. Use the formula a=1Factor.This gives a=1Factor=118=8.y= log(8×x) Write the new equation using y=log(ax) and a=8. Remember horizontal dilations of a function are written in the form y=f(ax). y= log(8x) y=log(8x) -
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Question 7 of 7
7. Question
Apply the horizontal dilation (stretch/shrink) scale factor of 4 to the function y=x2.
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Great Work!
Incorrect
Need TextPlayCurrent Time 0:00/Duration Time 0:00Remaining Time -0:00Stream TypeLIVELoaded: 0%Progress: 0%0:00Fullscreen00:00MutePlayback Rate1x- 2x
- 1.5x
- 1.25x
- 1x
- 0.75x
- 0.5x
Subtitles- subtitles off
Captions- captions off
- English
Chapters- Chapters
A Dilation is to stretch or to shrink the shape of a curve.
Horizontal dilations (stretch/shrink) of a function are written in the form y=f(ax). To find a, use the formula a=1Factor or Factor=1a.Alternatively, we can take the x component of the function and divide it by the horizontal dilation factor: xFactorTo obtain the equation of the function after the horizontal dilation (stretch/shrink), first solve for a where the Factor=4. Factor of 4 means it is stretched 4 times as wide horizontally. Use the formula a=1Factor.This gives a=1Factor=14.y= (14×x)2 Write the new equation using y=(ax)2 and a=14. Remember horizontal dilations of a function are written in the form y=f(ax). y= (x4)2 y=(x4)2 -
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Quizzes
- Vertical Translations 1
- Vertical Translations 2
- Vertical Translations from a Point
- Horizontal Translations 1
- Horizontal Translations 2
- Horizontal Translations from a Point
- Horizontal Translations from a Graph
- Horizontal and Vertical Translations from a Graph
- Sketch a Graph using Translations
- Write the Equation from a Graph
- Write the Equation from Translations
- Vertical Dilations
- Horizontal Dilations 1
- Horizontal Dilations 2
- Horizontal Dilations – Scale Factor
- Horizontal and Vertical Dilations 1
- Horizontal and Vertical Dilations 2
- Horizontal and Vertical Dilations 3
- Graphing Reflections 1
- Graphing Reflections 2
- Reflection with Rotation
- Combinations of Transformations: Order
- Combinations of Transformations: Coordinates
- Combinations of Transformations: Find Equation 1
- Combinations of Transformations: Find Equation 2
- Combinations of Transformations: Find Equation 3