Question

Triangle ABC is translated according to the rule (x, y) → (x + 2, y – 8). If the coordinates of the pre-image of point B are
(4, –5), what are the coordinates of B'?

(2, 3)
(1, –9)
(–3, –4)
(6, –13)

Answer 1

Apply (x, y) → (x + 2, y − 8):
x' = 4 + 2 = 6, y' = −5 − 8 = −13.
So B' = (6, −13).