Question

The point A(–1, 4) is translated five units right and three units down. Which rule describes the translation?
(x, y) right-arrow (x + 5, y + 3)
(x, y) right-arrow (x + 5, y minus 3)
(x, y) right-arrow (x + 3, y + 5)
(x, y) right-arrow (x minus 3, y + 5)

Answer 1

Translation right 5 adds 5 to x; down 3 subtracts 3 from y. So the rule is (x, y) → (x + 5, y − 3).
The image of A(−1, 4) is (−1+5, 4−3) = (4, 1).