Question

reflect (4, 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 $x$-coordinate remains the same and the $y$-coordinate changes sign. Given the point $(4,6)$, after reflecting across the $x$-axis, we get $(4,- 6)$.

Step2: Reflect across y - axis

When reflecting a point $(x,y)$ across the $y$-axis, the $y$-coordinate remains the same and the $x$-coordinate changes sign. So, reflecting the point $(4,-6)$ across the $y$-axis gives $(-4,-6)$.

Answer:

$(-4,-6)$