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