Answer
See graph and explanations.
Work Step by Step
We can identify the equation as an ellipse with a vertical major axis $a=6,b=5,c=\sqrt {a^2-b^2}=\sqrt {11}$, center $(-3,-2)$, vertices $(-3,-8),(-3,4)$, and foci $(-3,-2\pm\sqrt {11})$. See graph.
