Question

An object is translated by ( x + 4, y - 2). If one point in the image has the coordinates (5, -3), what would be the coordinates of its pre-image?

(9, -5)
(1, -5)
(9, -1)
(1, -1)

Answer 1

To find the pre-image we work backwards. Since the coordinates one of the translated image is (5,-3) and this image was translated with the formula (x+4, y-2), then we can just work backwords. 
(x-4, y+2) --> (5-4,-3+2) -->(1,-1)
The correct answer is (1,-1)