1. The problem asks to find the solutions of the quadratic function, which are the x-values where the graph intersects the x-axis. 2. The solutions of a quadratic function correspond to the roots or zeros, where $y=0$. 3. From the graph description, the parabola intersects the x-axis near $x=-4$ and $x=1$. 4. Therefore, the solutions to the quadratic equation are $x=-4$ and $x=1$. Final answer: $x = -4, 1$