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.

Step2: Apply rule to point E

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

Answer:

The image of point $E(3,-3)$ after reflection over the $x - axis$ is the point $(3,3)$. To graph it, locate the point 3 units to the right of the $y$-axis and 3 units above the $x$-axis on the given coordinate - grid.