1. The problem asks to determine the coordinates of the vertex of a parabola from its graph. 2. The vertex of a parabola given by the equation $y = ax^2 + bx + c$ is the point where the parabola changes direction. It is the minimum point if the parabola opens upwards (when $a > 0$). 3. The vertex coordinates can be found using the formula for the x-coordinate: $$x = -\frac{b}{2a}$$ and then substituting this $x$ back into the equation to find the $y$-coordinate. 4. However, since the problem provides the graph and the vertex is visually identified, we can directly read the vertex coordinates from the graph. 5. From the graph, the vertex is approximately at the point $(5, -5)$. 6. Therefore, the coordinates of the vertex of the parabola are: $$\boxed{(5, -5)}$$