Question

graph the image of p(-3, -5) after a reflection over the y - axis.

Explanation:

Step1: Recall reflection rule

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

Step2: Apply rule to point P

For point $P(-3,-5)$, we change the sign of the $x - coordinate$. So, $x=-3$ becomes $-x = 3$, and $y=-5$ remains the same. The new point is $(3,-5)$.

Answer:

The image of point $P(-3,-5)$ after reflection over the $y - axis$ is $(3,-5)$. To graph it, find the point $(3,-5)$ on the coordinate - plane, which is 3 units to the right of the $y - axis$ and 5 units below the $x - axis$.