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=(13x)2y=(13x)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=(13x)2y=(13x)2 looks like the horizontal dilation form y=f(ax)y=f(ax). This means that a=13a=13.
Calculate the horizontal scale factor by using Factor=1aFactor=1a and a=13a=13.
Factor=Factor=
113113
Simplify
Factor=Factor=
33
Horizontal dilation with a scale factor of 33
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=x4y=x4
Transformed function y=x46y=x46
1. Vertical dilation with a scale factor of 1616
2. Horizontal dilation with a scale factor of 66
3. Horizontal dilation with a scale factor of 1616
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=16x4y=16x4 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=16x4y=16x4 looks like the vertical dilation form y=kf(x)y=kf(x). This means that k=16k=16. Remember kk is the scale factor.
Vertical dilation with a scale factor of 1616
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=x3y=x3
Transformed function y=5x3y=5x3
1. Horizontal dilation with a scale factor of 55
2. Vertical dilation with a scale factor of 55
3. Vertical dilation with a scale factor of 1515
4. Horizontal dilation with a scale factor of 1515
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=5x3y=5x3 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=5x3y=5x3 looks like the vertical dilation form y=kf(x)y=kf(x). This means that k=5k=5. Remember kk is the scale factor.
Vertical dilation with a scale factor of 55
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.
Original function y=3xy=3x
Transformed function y=312xy=312x
1. Horizontal dilation with a scale factor of 22
2. Vertical dilation with a scale factor of 1212
3. Vertical dilation with a scale factor of 22
4. Horizontal dilation with a scale factor of 1212
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=312xy=312x 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=312xy=312x looks like the horizontal dilation form y=f(ax)y=f(ax). This means that a=12a=12.
Calculate the horizontal scale factor by using Factor=1aFactor=1a and a=12a=12.
Factor=Factor=
112112
Simplify
Factor=Factor=
22
Horizontal dilation with a scale factor of 22
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.
Original function y=exy=ex
Transformed function y=ex3y=ex3
1. Horizontal dilation with a scale factor of 33
2. Horizontal dilation with a scale factor of 1313
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=13exy=13ex 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=13exy=13ex looks like the vertical dilation form y=kf(x)y=kf(x). This means that k=13k=13. Remember kk is the scale factor.
Vertical dilation with a scale factor of 1313
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.
Original function y=log(x)y=log(x)
Transformed function y=4log(x)y=4log(x)
1. Vertical dilation with a scale factor of 1414
2. 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=4log(x)y=4log(x) 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=4log(x)y=4log(x) looks like the vertical dilation form y=kf(x)y=kf(x). This means that k=4k=4. Remember kk is the scale factor.