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

Answer 1

(1, -1)

Because if the translation sends (x, y) to (x+4, y-2) and the image is (5, -3), then x+4 = 5 → x = 1 and y-2 = -3 → y = -1.