The point (1,1) is the image under the translation (x,y) → (x+4,y-4). What is the preimage of this point
To find the preimage of the point (1,1) under the translation (x,y) → (x+4,y-4), we need to reverse the transformation.
The translation (x,y) → (x+4,y-4) means that the x-coordinate is increased by 4 and the y-coordinate is decreased by 4.
To find the preimage, we need to undo this transformation. So we subtract 4 from the x-coordinate and add 4 to the y-coordinate of (1,1) to get:
Preimage = (1-4, 1+4) = (-3,5)
Therefore, the preimage of the point (1,1) under the translation (x,y) → (x+4,y-4) is (-3,5).