Answer
See graph and explanations.
Work Step by Step
Step 1. Rewrite the given equation as $\frac{(x-3)^2}{18}+\frac{(y+2)^2}{2}=1$; we have $a^2=18, b^2=2$ and $c=\sqrt {a^2-b^2}=4$. The ellipse is centered at $(3,-2)$ with a horizontal major axis.
Step 2. We can graph the equation as shown in the figure with foci at $(7,-2)$ and $(-1,-2)$
