## Calculus (3rd Edition)

$$y = \frac{1}{8}x^2 .$$
The vertex is at $(0,0)$ and the focus is at $( 0,2)$; hence, $c=2$. The parabola is vertical and opens upward and has the equation $$y =\frac{1}{4c}x^2=\frac{1}{8}x^2 .$$