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 Factor=1a.
Alternatively, to find the image point coordinates, we take the
x-coordinate and multiply by the horizontal dilation factor
To find the image points for A(-2,6) and B(8,0) when a=14. We start by finding the horizontal dilation (stretch/shrink) factor: Factor=1a.
Factor=
114
Simplify
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 (-2×4,6)=(-8,6).
Then, multiply the x-coordinate of B(8,0) by the Factor (4).
Point B(8,0) becomes (8×4,0)=(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.
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 Factor=1a.
Alternatively, to find the original coordinates you can divide using xFactor
To find the original coordinates (x,y) when a=3. We start by finding the horizontal dilation (stretch/shrink) factor Factor=1a.
Factor=
13
Now divide the x-coordinate for the point (12,-3) by the Factor=13.
Point (12,-3) becomes (12÷13,-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.
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 Factor=1a.
Alternatively, to find the original coordinates you can divide using xFactor
To find the original coordinates (x,y) when a=3. We start by finding the horizontal dilation (stretch/shrink) factor Factor=1a.
Factor=
13
Simplify
Factor=
13
Now divide the x-coordinate in the point (-18,4) by the Factor of 13.
Point (-18,4) becomes (-18÷13,4)=(-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.
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 Factor=1a.
Alternatively, to find the image point coordinates, we take the
x-coordinate and multiply by the horizontal dilation factor
To find the coordinates of the image point we take (-6,4) when a=12. We start by finding the horizontal dilation (stretch/shrink) factor using Factor=1a.
Factor=
1-1
Simplify
Factor=
-1
Now multiply the x-coordinate in each point A(-6,3) by the Factor (-1).
