>
Year 12>
Transformations of Functions>
Horizontal and Vertical Dilations>
Horizontal and Vertical Dilations 2Horizontal and Vertical Dilations 2
Try VividMath Premium to unlock full access
Quiz summary
0 of 6 questions completed
Questions:
- 1
- 2
- 3
- 4
- 5
- 6
Information
–
You have already completed the quiz before. Hence you can not start it again.
Quiz is loading...
You must sign in or sign up to start the quiz.
You have to finish following quiz, to start this quiz:
- 1
- 2
- 3
- 4
- 5
- 6
- Answered
- Review
-
Question 1 of 6
1. 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=x^2`
Transformed function `y=(x/3)^2`
Correct
Great Work!
Incorrect
Vertical dilation takes the form `y=bb(k)f(x)` where `bb(k)` is the vertical scale factor.Horizontal dilation takes the form `y=f(color(green)(a)x)` where the scale factor can be found from `x/\text(Factor)` or `\text(Factor) =1/color(green)(a)` .To find which type of dilation (stretch/shrink) is happening compare the transformed function `y=(color(green)(1/3)x)^2` to the vertical dilation form `y=bb(k)f(x)` and the horizontal dilation form `y=f(color(green)(a)x)`.The transformed function `y=(color(green)(1/3)x)^2` looks like the horizontal dilation form `y=f(color(green)(a)x)`. This means that `color(green)(a=1/3)`.Calculate the horizontal scale factor by using `\text(Factor) =1/color(green)(a)` and `color(green)(a=1/3)`.`\text(Factor) =` `1/color(green)(1/3)` Simplify `\text(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.
Original function `y=x^4`
Transformed function `y=x^4/6`
Correct
Great Work!
Incorrect
Vertical dilation takes the form `y=color(blue)(bb(k))f(x)` where `color(blue)(bb(k))` is the vertical scale factor.Horizontal dilation takes the form `y=f(ax)` where the scale factor can be found from `x/\text(Factor)` or `\text(Factor) =1/a` .To find which type of dilation (stretch/shrink) is happening compare the transformed function `y=color(blue)(bb(1/6))x^4` to the vertical dilation form `y=color(blue)(bb(k))f(x)` and the horizontal dilation form `y=f(ax)`.The transformed function `y=color(blue)(bb(1/6))x^4` looks like the vertical dilation form `y=color(blue)(bb(k))f(x)`. This means that `color(blue)(k=1/6)`. Remember `k` is the scale factor.Vertical dilation with a scale factor of `1/6` -
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=x^3`
Transformed function `y=5x^3`
Correct
Great Work!
Incorrect
Vertical dilation takes the form `y=color(blue)(bb(k))f(x)` where `color(blue)(bb(k))` is the vertical scale factor.Horizontal dilation takes the form `y=f(ax)` where the scale factor can be found from `x/\text(Factor)` or `\text(Factor) =1/a` .To find which type of dilation (stretch/shrink) is happening compare the transformed function `y=color(blue)(bb(5))x^3` to the vertical dilation form `y=color(blue)(bb(k))f(x)` and the horizontal dilation form `y=f(ax)`.The transformed function `y=color(blue)(bb(5))x^3` looks like the vertical dilation form `y=color(blue)(bb(k))f(x)`. This means that `color(blue)(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.
Original function `y=3^x`
Transformed function `y=3^(1/2 x)`
Correct
Great Work!
Incorrect
Vertical dilation takes the form `y=bb(k)f(x)` where `bb(k)` is the vertical scale factor.Horizontal dilation takes the form `y=f(color(green)(a)x)` where the scale factor can be found from `x/\text(Factor)` or `\text(Factor) =1/color(green)(a)` .To find which type of dilation (stretch/shrink) is happening compare the transformed function `y=3^(color(green)(1/2)x)` to the vertical dilation form `y=bb(k)f(x)` and the horizontal dilation form `y=f(color(green)(a)x)`.The transformed function `y=3^(color(green)(1/2)x)` looks like the horizontal dilation form `y=f(color(green)(a)x)`. This means that `color(green)(a=1/2)`.Calculate the horizontal scale factor by using `\text(Factor) =1/color(green)(a)` and `color(green)(a=1/2)`.`\text(Factor) =` `1/color(green)(1/2)` Simplify `\text(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.
Original function `y=e^x`
Transformed function `y=e^x /3`
Correct
Great Work!
Incorrect
Vertical dilation takes the form `y=color(blue)(bb(k))f(x)` where `color(blue)(bb(k))` is the vertical scale factor.Horizontal dilation takes the form `y=f(ax)` where the scale factor can be found from `x/\text(Factor)` or `\text(Factor) =1/a` .To find which type of dilation (stretch/shrink) is happening compare the transformed function `y=color(blue)(bb(1/3))e^x` to the vertical dilation form `y=color(blue)(bb(k))f(x)` and the horizontal dilation form `y=f(ax)`.The transformed function `y=color(blue)(bb(1/3))e^x` looks like the vertical dilation form `y=color(blue)(bb(k))f(x)`. This means that `color(blue)(k=1/3)`. Remember `k` is the scale factor.Vertical dilation with a scale factor of `1/3` -
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)`
Transformed function `y=4\log(x)`
Correct
Great Work!
Incorrect
Vertical dilation takes the form `y=color(blue)(bb(k))f(x)` where `color(blue)(bb(k))` is the vertical scale factor.Horizontal dilation takes the form `y=f(ax)` where the scale factor can be found from `x/\text(Factor)` or `\text(Factor) =1/a` .To find which type of dilation (stretch/shrink) is happening compare the transformed function `y=color(blue)(bb(4))\log(x)` to the vertical dilation form `y=color(blue)(bb(k))f(x)` and the horizontal dilation form `y=f(ax)`.The transformed function `y=color(blue)(bb(4))\log(x)` looks like the vertical dilation form `y=color(blue)(bb(k))f(x)`. This means that `color(blue)(k=4)`. Remember `k` is the scale factor.Vertical dilation with a scale factor of `4`
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