Horizontal Dilations 1
Try VividMath Premium to unlock full access
Time limit: 0
Quiz summary
0 of 4 questions completed
Questions:
- 1
- 2
- 3
- 4
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:
Loading...
- 1
- 2
- 3
- 4
- Answered
- Review
-
Question 1 of 4
1. Question
The points `A(-2,6)` and `B(8,0)` lie on `y=f(x)`. Find the coordinates of images `A` and `B` for `y=f(ax)` when `a=1/4`.
Correct
Great Work!
Incorrect
A Dilation is to stretch or to shrink the shape of a curve.
Horizontal dilation (stretch/shrink) Factor takes the form `y=f(ax)` where the horizontal dilation factor can be found with `\text(Factor) =1/a`.Alternatively, to find the image point coordinates, we take the
x-coordinate and multiply by the horizontal dilation factorTo find the image points for `A(-2,6)` and `B(8,0)` when `a=1/4`. We start by finding the horizontal dilation (stretch/shrink) factor:
`\text(Factor) =1/a`.`\text(Factor) =` `1/color(green)(1/4)` Simplify `\text(Factor) =` `4` Now multiply the `x`-coordinate in the points `A(-2,6)` and `B(8,0)` by the Factor (`4`).Point `(-2,6)` becomes `(-2\times 4,6)=(-8,6)`.Then, multiply the `x`-coordinate of `B(8,0)` by the Factor (`4`).Point `B(8,0)` becomes `(8\times 4,0)=(32,0)`.`A(-8,6)` and `B(32,0)` -
Question 2 of 4
2. Question
When `y=f(x)` is transformed to `y=f(ax)`, the coordinates become `(12,-3)`.
Find the original coordinates of `R` when `a=3`.Correct
Great Work!
Incorrect
A Dilation is to stretch or to shrink the shape of a curve.
Horizontal dilation (stretch/shrink) factor takes the form `y=f(ax)` where the horizontal dilation factor can be found with `\text(Factor) =1/a`.Alternatively, to find the original coordinates you can divide using `x/\text(Factor)`To find the original coordinates `(x,y)` when `a=3`. We start by finding the horizontal dilation (stretch/shrink) factor
`\text(Factor) =1/a`.`\text(Factor) =` `color(green)(1/3)` Now divide the `x`-coordinate for the point `(12,-3)` by the `\text(Factor)=1/3`.Point `(12,-3)` becomes `(12\divide 1/3,-3)=(36,-3)`.`(36,-3)` -
Question 3 of 4
3. Question
When `y=f(x)` is transformed to `y=f(ax)`, the coordinates become `(-18,4)`.
Find the original coordinates `(x,y)` when `a=3`.Correct
Great Work!
Incorrect
A Dilation is to stretch or to shrink the shape of a curve.
Horizontal dilation (stretch/shrink) factor takes the form `y=f(ax)` where the horizontal dilation factor can be found with `\text(Factor) =1/a`.Alternatively, to find the original coordinates you can divide using `x/\text(Factor)`To find the original coordinates `(x,y)` when `a=3`. We start by finding the horizontal dilation (stretch/shrink) factor
`\text(Factor) =1/a`.`\text(Factor) =` `1/color(green)(3)` Simplify `\text(Factor) =` `1/3` Now divide the `x`-coordinate in the point `(-18,4)` by the Factor of `1/3`.Point `(-18,4)` becomes `(-18 \divide 1/3,4)=(-54,4)`.`(-54,4)` -
Question 4 of 4
4. Question
The point `(-6,3)` lies on `y=f(x)`. Find the coordinates of image `A` on transformed function `y=f(ax)` when `a=-1`.
Correct
Great Work!
Incorrect
A Dilation is to stretch or to shrink the shape of a curve.
Horizontal dilation (stretch/shrink) factor takes the form `y=f(ax)` where the horizontal dilation factor can be found with `\text(Factor) =1/a`.Alternatively, to find the image point coordinates, we take the
x-coordinate and multiply by the horizontal dilation factorTo find the coordinates of the image point we take `(-6,4)` when `a=1/2`. We start by finding the horizontal dilation (stretch/shrink) factor using `\text(Factor) =1/a`.`\text(Factor) =` `1/color(green)(-1)` Simplify `\text(Factor) =` `-1` Now multiply the `x`-coordinate in each point `A(-6,3)` by the Factor (`-1`).Point `A(-6,3)` becomes `(-6\times -1,3)=(6,3)`.`A(6,3)`
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