Although this is a quadratic equation, you can see that if $\displaystyle{y}=\frac{{1}}{{5}}{{x}}^{{2}}-{10}\usepackage{cmbright}\Huge\$ , then $\displaystyle{y}=-{10}\usepackage{cmbright}\Huge\$ when $\displaystyle{x}={0}\usepackage{cmbright}\Huge\$ , which means that the vertex of the parabola would not rest at the origin. Therefore, this equation does not match the graph in question.