Question

the point (3, -2) is shown on the graph. what are the coordinates of the image of this point after a reflection using the y - axis? (-2, -3) (-3, -2) (3, 2) (2, -3)

Explanation:

Step1: Recall reflection rule

When reflecting a point $(x,y)$ over the $y -$axis, the rule is $(-x,y)$.

Step2: Apply rule to point

For the point $(3,-2)$, $x = 3$ and $y=-2$. After reflection over the $y -$axis, $x$ becomes $-3$ and $y$ remains $-2$. The new point is $(-3,-2)$.

Answer:

B. $(-3,-2)$