Question

reflect (8, 3) across the x - axis. then reflect the result across the y - axis. what are the coordinates of the final point?

Explanation:

Step1: Reflect across x - axis

When reflecting a point $(x,y)$ across the x - axis, the rule is $(x,y)\to(x, - y)$. Given the point $(8,3)$, after reflecting across the x - axis, we get $(8,-3)$.

Step2: Reflect across y - axis

When reflecting a point $(x,y)$ across the y - axis, the rule is $(x,y)\to(-x,y)$. Taking the point $(8,-3)$ and reflecting it across the y - axis, we get $(-8,-3)$.

Answer:

$(-8,-3)$