1. The problem asks us to find the solutions of a quadratic function using its graph. 2. The solutions of a quadratic function are the x-values where the graph intersects the x-axis. These are also called the roots or zeros of the function. 3. From the graph description, the parabola opens downward and crosses the x-axis approximately at $x=1$ and $x=6.7$. 4. Therefore, the solutions to the quadratic equation are $x=1$ and $x=6.7$. 5. These values satisfy the equation $f(x)=0$ because at these points the graph touches the x-axis (where $y=0$).