See graph and explanations.
Work Step by Step
Step 1. Graph the conic section as shown in the figure. Step 2. From the equation, we can identify it is an ellipse with $a=5,b=3,c=4$, centered at $(-2,5)$. Step 3. We can find the foci at $(-2\pm4,5)$ which gives $(-6,5)$ and $(2,5)$.