The point (1, 1)

Question

is the image under the translation (x, y)→(x+3, y−3)
. What is the preimage of this point?

Answer 1

To find the preimage of the point (1, 1) under the translation (x, y)→(x+3, y−3), we need to reverse the translation by subtracting 3 from the x-coordinate and adding 3 to the y-coordinate.

So, the preimage of the point (1, 1) would be:

(1−3, 1+3)
=(-2, 4)