Solving Quadratic Equations

We want to use the given graph to determine the solutions of the related quadratic equation. The solutions of these equations are the $x\text{-}$coordinates of the points of intersection of the parabola and the $x\text{-}$axis. Recall that a quadratic equation can have two, one, or no solutions. Let's consider the graph.

This graph touches the $x\text{-}$axis at one point, so its related equation $\text{-}{x}^2-8x-16=0$ has one solution. We can see that the solution is $x=\text{-}4.$