Question

what are the coordinates of the image of vertex r after a reflection across the y - axis? (-4, 3) (4, -3) (-3, -4) (3, 4)

Explanation:

Step1: Recall reflection rule

The rule for reflecting a point $(x,y)$ across the $y$-axis is $(-x,y)$.

Step2: Apply rule to point R

Given $R(-3,4)$, when we apply the rule, $x=-3$ and $y = 4$. So, $-x=-(-3)=3$ and $y$ remains $4$. The new point is $(3,4)$.

Answer:

(3, 4)