Question

find the algebraic representation of the reflection below. (y,x) (x,-y) (-x,y) (-x,-y)

Explanation:

Step1: Observe the transformation

We see that the pre - image C and the image C' are symmetric about the x - axis.

Step2: Recall reflection rule

The rule for reflecting a point (x,y) over the x - axis is (x, - y). When we reflect a point over the x - axis, the x - coordinate remains the same and the y - coordinate changes its sign.

Answer:

(x, - y)