Question

What are the coordinates of the reflection when (4, -6) is reflected across both axes?

(-4, 6)
(-4, -6)
(4, 6)
(-6, 4)

Answer 1

see explanation

Explanation:

Under a reflection in the x- axis

a point (x, y ) → (x, - y ), thus

(4, - 6) → (4, 6 )

Under a reflection in the y- axis

a point (x, y ) → (- x, y ), thus

(4, - 6 ) → (- 4, - 6 )