Question

what is the rule for a reflection over the y - axis? (x, y) -> (y, -x) (x, y) -> (-y, x) (x, y) -> (-x, y) (x, y) -> (x, -y)

Explanation:

When reflecting a point $(x,y)$ over the y - axis, the x - coordinate changes its sign while the y - coordinate remains the same. This is because the y - axis acts as a mirror and the distance of the point from the y - axis in the x - direction is reversed in sign.

Answer:

C. $(x,y)\to(-x,y)$