Question

graph the image of e(3, -3) after a reflection over the x - axis.

Explanation:

Step1: Recall reflection rule

When reflecting a point $(x,y)$ over the $x - axis$, the $x$-coordinate remains the same and the $y$-coordinate changes its sign. The rule is $(x,y)\to(x, - y)$.

Step2: Apply the rule to point E

For point $E(3,-3)$, where $x = 3$ and $y=-3$. After reflection over the $x - axis$, the new $y$-coordinate is $-(-3)=3$ and the $x$-coordinate stays $3$. So the image of $E$ is $(3,3)$.

Answer:

The image of point $E(3,-3)$ after reflection over the $x - axis$ is $(3,3)$.