1. **State the problem:** We need to graph the image of triangle \(\triangle FGH\) after reflecting it over the x-axis. 2. **Given points:** \(F(4, -10)\), \(G(7, -10)\), \(H(5, -6)\). 3. **Reflection rule over the x-axis:** When a point \((x, y)\) is reflected over the x-axis, its image is \((x, -y)\). 4. **Apply the reflection:** - \(F'(4, -(-10)) = F'(4, 10)\) - \(G'(7, -(-10)) = G'(7, 10)\) - \(H'(5, -(-6)) = H'(5, 6)\) 5. **Result:** The reflected triangle \(\triangle F'G'H'\) has vertices \(F'(4, 10)\), \(G'(7, 10)\), and \(H'(5, 6)\). This reflection flips the triangle vertically across the x-axis, changing the sign of the y-coordinates while keeping the x-coordinates the same.