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).
