1. **State the problem:** We need to graph the image of triangle $\triangle TUV$ after reflecting it over the x-axis. 2. **Given vertices:** - $V(0,8)$ - $U(7,10)$ - $T(7,5)$ 3. **Reflection rule over the x-axis:** Reflecting a point $(x,y)$ over the x-axis results in $(x,-y)$. 4. **Apply the reflection to each vertex:** - $V'(0,-8)$ - $U'(7,-10)$ - $T'(7,-5)$ 5. **Interpretation:** The reflected triangle $\triangle T'U'V'$ is located in the bottom-right quadrant, mirroring the original triangle across the x-axis. 6. **Final answer:** The image of $\triangle TUV$ after reflection over the x-axis has vertices $V'(0,-8)$, $U'(7,-10)$, and $T'(7,-5)$.