Question

A point is reflected over the y-axis, but the x-coordinate does not change. What is the location of the point? (0, 3) (-1, 0) (1, 1) (-1, -1)

Answer 1

Explanation:

When we apply a reflection in a point over an axis this is what happens, especially if we consider, a reflexion of those points over y-axis

A(0,-3) B(-1,0) C(1,1) D(-1,-1)

Since the reflection over y-axis equals to (-x,y) we are going to have a change. But the question says we're not going to have any change at all. Calculating to prove it:

(-x,y) Reflection across y-axis

A(0,-3) then A'(0,-3)

B(-1,0) then =B'(1,0)

C(1,1) then C'(-1,1)

D(-1,-1) then D'(1,-1)

Hence the point is A, whose A' did not change its x-coordinate across the y-axis after reflected.

Answer 2

(0, 3)

Explanation:

Any point on the y-axis doesn't move when reflected across the y-axis. The x-coordinate must be zero. The only choice with that x-coordinate is (0, 3).