Answer
See graph and explanations.
Work Step by Step
Step 1. Rewrite the equation as $\frac{x^2}{5}+\frac{y^2}{7}=1$; we can identify $a^2=7, b^2=5$. Thus $c=\sqrt {a^2-b^2}=\sqrt {2}$. The ellipse is centered at $(0,0)$ with a vertical major axis.
Step 2. We can graph the equation as shown in the figure, and the foci can be located at $(0,\pm\sqrt {2})$