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

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

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

Answer

Explanation:

Step1: Observe the coordinate changes

Original points like $M(-5,4)$ change to $M'(-5, - 4)$. The $x$-coordinate remains the same and the $y$-coordinate changes sign.

Step2: Recall reflection rules

Reflection over the $x$-axis has the rule $(x,y)\to(x, - y)$. Reflection over the $y$-axis has the rule $(x,y)\to(-x,y)$.

Answer:

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