Question

reflect (3, - 6) 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 $(3,-6)$, after reflecting across the x - axis, we get $(3,6)$ since $y=-6$ and $-y = 6$.

Step2: Reflect across y - axis

When reflecting a point $(x,y)$ across the y - axis, the rule is $(x,y)\to(-x,y)$. Since the point after the first reflection is $(3,6)$, after reflecting across the y - axis, we get $(-3,6)$ as $x = 3$ and $-x=-3$.

Answer:

(-3,6)