Question

what is the rule for the reflection? $r_{x - axis}(x,y)\to(x, - y)$ $r_{x - axis}(x,y)\to(-x,y)$ $r_{y - axis}(x,y)\to(x, - y)$ $r_{y - axis}(x,y)\to(-x,y)$

Explanation:

Step1: Observe coordinate changes

Original points like $L(-4,2)$ change to $L'(-4, - 2)$. The $x$-coordinate remains the same and $y$-coordinate changes sign.

Answer:

$r_{x - axis}(x,y)\to(x, - y)$