Answer
See graph and explanations.
Work Step by Step
Step 1. Given $\frac{(x-2)^2}{9}+\frac{(y-1)^2}{4}=1$, we have $a^2=9, b^2=4$ and $c=\sqrt {a^2-b^2}=\sqrt 5$. The ellipse is centered at $(2,1)$ with a horizontal major axis.
Step 2. We can graph the equation as shown in the figure with foci at $(2\pm\sqrt 5,1)$
