Question

graph the image of △qrs after a reflection over the x - axis.

Explanation:

Step1: Recall reflection rule

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

Step2: Find new coordinates of Q

If $Q=(0, - 4)$, after reflection over the $x - axis$, the new coordinates of $Q'$ are $(0,4)$.

Step3: Find new coordinates of R

If $R=(0,-3)$, after reflection over the $x - axis$, the new coordinates of $R'$ are $(0,3)$.

Step4: Find new coordinates of S

If $S=(9,-2)$, after reflection over the $x - axis$, the new coordinates of $S'$ are $(9,2)$.

Step5: Graph new triangle

Plot the points $Q'(0,4)$, $R'(0,3)$ and $S'(9,2)$ and connect them to form $\triangle Q'R'S'$.

Answer:

Graph the points $Q'(0,4)$, $R'(0,3)$ and $S'(9,2)$ and connect them to get the reflected triangle.