Question

reflect (-3, 4) 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 $(-3,4)$, after reflecting across the $x$-axis, the new point is $(-3,- 4)$.

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. Given the point $(-3,-4)$, after reflecting across the $y$-axis, the new point is $(3,-4)$.

Answer:

$(3,-4)$