Vertical dilation takes the form y=kf(x)y=kf(x) where kk is the vertical scale factor.
Horizontal dilation takes the form y=f(ax)y=f(ax) where the scale factor can be found from xFactorxFactor or Factor=1aFactor=1a .
To find which type of dilation (stretch/shrink) is happening compare the transformed function y=(5x)2y=(5x)2 to the vertical dilation form y=kf(x)y=kf(x) and the horizontal dilation form y=f(ax)y=f(ax).
The transformed function y=(5x)2y=(5x)2 looks like the horizontal dilation form y=f(ax)y=f(ax). This means that a=5a=5.
Calculate the horizontal scale factor by using Factor=1aFactor=1a and a=5a=5.
Factor=Factor=
1515
Simplify
Factor=Factor=
1515
Horizontal dilation with a scale factor of 1515
Question 2 of 6
2. Question
Describe if the constant in the transformed function shows a horizontal or vertical dilation (stretch/shrink) and state the scale factor.
Original function y=x2y=x2
Transformed function y=(-x)2y=(−x)2
1. Horizontal dilation with a scale factor of -1−1
Vertical dilation takes the form y=kf(x)y=kf(x) where kk is the vertical scale factor.
Horizontal dilation takes the form y=f(ax)y=f(ax) where the scale factor can be found from xFactorxFactor or Factor=1aFactor=1a .
To find which type of dilation (stretch/shrink) is happening compare the transformed function y=(-1x)2y=(−1x)2 to the vertical dilation form y=kf(x)y=kf(x) and the horizontal dilation form y=f(ax)y=f(ax).
The transformed function y=(-1x)2y=(−1x)2 looks like the horizontal dilation form y=f(ax)y=f(ax). This means that a=-1a=−1.
Calculate the horizontal scale factor by using Factor=1aFactor=1a and a=-1a=−1.
Factor=Factor=
1-11−1
Simplify
Factor=Factor=
-1−1
Horizontal dilation with a scale factor of -1−1
Question 3 of 6
3. Question
Describe if the constant in the transformed function shows a horizontal or vertical dilation (stretch/shrink) and state the scale factor.
Original function y=x4y=x4
Transformed function y=(4x)4y=(4x)4
1. Vertical dilation with a scale factor of 1414
2. Horizontal dilation with a scale factor of 44
3. Vertical dilation with a scale factor of 44
4. Horizontal dilation with a scale factor of 1414
Vertical dilation takes the form y=kf(x)y=kf(x) where kk is the vertical scale factor.
Horizontal dilation takes the form y=f(ax)y=f(ax) where the scale factor can be found from xFactorxFactor or Factor=1aFactor=1a .
To find which type of dilation (stretch/shrink) is happening compare the transformed function y=(4x)4y=(4x)4 to the vertical dilation form y=kf(x)y=kf(x) and the horizontal dilation form y=f(ax)y=f(ax).
The transformed function y=(4x)4y=(4x)4 looks like the horizontal dilation form y=f(ax)y=f(ax). This means that a=4a=4.
Calculate the horizontal scale factor by using Factor=1aFactor=1a and a=4a=4.
Factor=Factor=
1414
Simplify
Factor=Factor=
1414
Horizontal dilation with a scale factor of 1414
Question 4 of 6
4. Question
Describe if the constant in the transformed function shows a horizontal or vertical dilation and state the scale factor.
Vertical dilation takes the form y=kf(x) where k is the vertical scale factor.
Horizontal dilation takes the form y=f(ax) where the scale factor can be found from xFactor or Factor=1a .
To find which type of dilation is happening compare the transformed function y=(2x)3 to the vertical dilation form y=kf(x) and the horizontal dilation form y=f(ax).
The transformed function y=(2x)3 looks like the horizontal dilation form y=f(ax). This means that a=2.
Calculate the horizontal scale factor by using Factor=1a and a=2.
Factor=
12
Simplify
Factor=
12
Horizontal dilation with a scale factor of 12
Question 5 of 6
5. Question
Describe if the constant in the transformed function shows a horizontal or vertical dilation (stretch/shrink) and state the scale factor.
Vertical dilation takes the form y=kf(x) where k is the vertical scale factor.
Horizontal dilation takes the form y=f(ax) where the scale factor can be found from xFactor or Factor=1a .
To find which type of dilation (stretch/shrink) is happening compare the transformed function y=-1⋅2x to the vertical dilation form y=kf(x) and the horizontal dilation form y=f(ax).
The transformed function y=-1⋅2x looks like the vertical dilation form y=kf(x). This means that k=-1. Remember k is the scale factor.
Vertical dilation with a scale factor of -1
Question 6 of 6
6. Question
Describe if the constant in the transformed function shows a horizontal or vertical dilation (stretch/shrink) and state the scale factor.
Vertical dilation takes the form y=kf(x) where k is the vertical scale factor.
Horizontal dilation takes the form y=f(ax) where the scale factor can be found from xFactor or Factor=1a .
To find which type of dilation (stretch/shrink) is happening compare the transformed function y=4log(x) to the vertical dilation form y=kf(x) and the horizontal dilation form y=f(ax).
The transformed function y=4log(x) looks like the vertical dilation form y=kf(x). This means that k=4. Remember k is the scale factor.