Question

Which set of points correctly demonstrates a pre-image that has been is reflected over x = -1?

A(0,-4) and A'(0,4)
A(0,-5) and A'(0,3)
A(-5,0) and A'(3,0)
A(0,-1) and A'(4,-1)

Answer 1

A(-5,0) and A'(3,0).

Reason: Reflection across x = -1 sends x -> 2(-1) - x = -2 - x and preserves y. For x = -5, x' = -2 - (-5) = 3, and y stays 0, so (-5,0) → (3,0).