Question

graph the image of △stu 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: Identify coordinates of $\triangle STU$

Let's assume the coordinates of $S=( - 4,-3)$, $T=(6,-3)$, $U=( - 4,-7)$.

Step3: Apply reflection rule to each point

For point $S=( - 4,-3)$, after reflection over the $x - axis$, the new point $S'=( - 4,3)$.
For point $T=(6,-3)$, after reflection over the $x - axis$, the new point $T'=(6,3)$.
For point $U=( - 4,-7)$, after reflection over the $x - axis$, the new point $U'=( - 4,7)$.

Step4: Graph the new triangle

Plot the points $S'$, $T'$, $U'$ and connect them to form the reflected triangle $\triangle S'T'U'$.

Answer:

Graph the points $S'(-4,3)$, $T'(6,3)$, $U'(-4,7)$ and connect them to get the image of $\triangle STU$ after reflection over the $x - axis$.