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=(13x)2 to the vertical dilation form y=kf(x) and the horizontal dilation form y=f(ax).
The transformed function y=(13x)2 looks like the horizontal dilation form y=f(ax). This means that a=13.
Calculate the horizontal scale factor by using Factor=1a and a=13.
Factor=
113
Simplify
Factor=
3
Horizontal dilation with a scale factor of 3
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.
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=16x4 to the vertical dilation form y=kf(x) and the horizontal dilation form y=f(ax).
The transformed function y=16x4 looks like the vertical dilation form y=kf(x). This means that k=16. Remember k is the scale factor.
Vertical dilation with a scale factor of 16
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.
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=5x3 to the vertical dilation form y=kf(x) and the horizontal dilation form y=f(ax).
The transformed function y=5x3 looks like the vertical dilation form y=kf(x). This means that k=5. Remember k is the scale factor.
Vertical dilation with a scale factor of 5
Question 4 of 6
4. 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=312x to the vertical dilation form y=kf(x) and the horizontal dilation form y=f(ax).
The transformed function y=312x looks like the horizontal dilation form y=f(ax). This means that a=12.
Calculate the horizontal scale factor by using Factor=1a and a=12.
Factor=
112
Simplify
Factor=
2
Horizontal dilation with a scale factor of 2
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=13ex to the vertical dilation form y=kf(x) and the horizontal dilation form y=f(ax).
The transformed function y=13ex looks like the vertical dilation form y=kf(x). This means that k=13. Remember k is the scale factor.
Vertical dilation with a scale factor of 13
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.