1. The problem asks for the x-intercepts of the quadratic graph. 2. X-intercepts occur where the graph crosses the x-axis, meaning the y-value is zero. 3. From the graph description, the parabola crosses the x-axis at points (-5, 0) and (1, 0). 4. Therefore, the x-intercepts are at $x = -5$ and $x = 1$. 5. The other points given either do not lie on the x-axis or are not intercepts. 6. Hence, the correct x-intercepts are (-5, 0) and (1, 0).