Instead of subtracting 8 from the x-value and adding 4 to the y-value, we should do the opposite.
D(12,-7)
Practice makes perfect
We are given the following translation.
(x,y) → (x-8,y+4)To translate from the image to the preimage, we will have to do the opposite of the given translation. This means that instead of subtracting 8 from the x-value and adding 4 to the y-value, we should add 8 and subtract 4. Let's do it!
Preimage to Image: & (x,y) → (x - 8,y + 4)
Image to Preimage:& (x,y) → (x + 8,y - 4)
Now, we can use our new rule on the image D' to get the preimage D.
ccc
(x,y) & → & (x+8,y-4)
D'(4,-3) &→ & D(12,-7)
Finally, the coordinates for the preimage are D(12,-7).
Extra
Transformations
For those of you who are interested in learning more about other transformations, you can read more about them on the following pages.
