Answer
See graph and explanations.
Work Step by Step
Step 1. Graph the equation as shown in the figure.
Step 2. Rewrite the equation as $\frac{x^2}{4}+\frac{y^2}{9}=1$; we can identify from the given equation that $a=3, b=2$ and thus $c=\sqrt {3^2-2^2}=\sqrt {5}$
Step 3. As the center of the ellipse is at $(0,0)$ and the major axis is vertical, the foci are $(0,\pm\sqrt {5})$ as shown in the figure.
