Question

2 trapezoids are shown. Trapezoid 1 has points A (negative 7, 0), B (negative 5, 3), C (negative 1, 3), and D (negative 1, 0). Trapezoid 2 has points A prime (1, negative 3), B prime (3, 0), C prime (7, 0), and D prime (7, negative 3).
Which rule describes the translation?

(x, y) → (x – 8, y – 3)
(x, y) → (x – 3, y + 8)
(x, y) → (x + 8, y – 3)
(x, y) → (x + 3, y + 8)

Answer 1

Translate trapezoid 1 to trapezoid 2: add 8 to x and subtract 3 from y.

Check: A(−7,0) → (−7+8, 0−3) = (1, −3) = A'. So the rule is (x, y) → (x + 8, y − 3).