Question

reflect (-5, 8) across the y - axis. then reflect the result across the y - axis again. what are the coordinates of the final point?

Explanation:

Step1: Reflect across y - axis first

When reflecting a point $(x,y)$ across the $y$-axis, the rule is $(-x,y)$. For the point $(-5,8)$, after the first reflection across the $y$-axis, we get $(5,8)$ since $-(-5)=5$ and $y = 8$ remains the same.

Step2: Reflect the result across y - axis again

Applying the same rule $(-x,y)$ to the point $(5,8)$, we have $(-5,8)$ as $-(5)=-5$ and $y = 8$ stays the same.

Answer:

$(-5,8)$