Question

Trapezoid JKLM is shown on the coordinate plane below:

Trapezoid JKLM on the coordinate plane with ordered pairs at J negative 6, 5, at K negative 3, 5, at L negative 1, 2, at M negative 8, 2.

If trapezoid JKLM is translated according to the rule (x, y) → (x + 2, y − 6), what are the coordinates of point L′?
(1, −4)
(−4, −1)
(−7, 4)
(0, 7)

Answer 1

L = (−1, 2). Apply (x, y) → (x + 2, y − 6):
x' = −1 + 2 = 1, y' = 2 − 6 = −4.
So L′ = (1, −4).