Find the equation for a hyperbola with a center at $(0,0)$, focus at $(0,-6)$ and vertex at $(0,4)$ .

• A. $\frac{y^2}{16}-\frac{x^2}{20}=1$
• B. $\frac{y^2}{20}-\frac{x^2}{16}=1$
• C. $\frac{y^2}{4}-\frac{x^2}{\sqrt{20}}=1$
• D. $\frac{y^2}{\sqrt{20}}-\frac{x^2}{4}=1$