Question

graph the image of square stuv after a reflection over the x - axis.

Explanation:

Step1: List original square vertices

Original coordinates:
$S(2, -8)$, $T(5, -8)$, $U(5, -5)$, $V(2, -5)$

Step2: Apply x-axis reflection rule

Reflection over x-axis: $(x,y)\to(x,-y)$
Calculations:
$S'(2, -(-8))=(2,8)$
$T'(5, -(-8))=(5,8)$
$U'(5, -(-5))=(5,5)$
$V'(2, -(-5))=(2,5)$

Step3: Plot and connect new vertices

Plot $S'(2,8)$, $T'(5,8)$, $U'(5,5)$, $V'(2,5)$, then connect them in order.

Answer:

The coordinates of the reflected square $S'T'U'V'$ are $S'(2, 8)$, $T'(5, 8)$, $U'(5, 5)$, $V'(2, 5)$. When plotted on the grid, these points form the reflected square above the x-axis.