Question

give the coordinates of the point obtained from each reflection.
(a) reflect the point (-9, 3) across the y - axis:
(b) reflect the point (-9, 3) across the x - axis:

Explanation:

Step1: Recall reflection rule for y - axis

When reflecting a point $(x,y)$ across the $y$-axis, the new point is $(-x,y)$.
For the point $(-9,3)$, $x=-9$ and $y = 3$. The new $x$-coordinate is $-(-9)=9$ and $y$-coordinate remains $3$.

Step2: Recall reflection rule for x - axis

When reflecting a point $(x,y)$ across the $x$-axis, the new point is $(x,-y)$.
For the point $(-9,3)$, $x=-9$ and $y = 3$. The $x$-coordinate remains $-9$ and the new $y$-coordinate is $-3$.

Answer:

(a) $(9,3)$
(b) $(-9,-3)$