Answer
See graph and explanations.
Work Step by Step
Step 1. Given $\frac{(x)^2}{25}+\frac{(y-2)^2}{36}=1$, we have $a^2=36, b^2=25$ and $c=\sqrt {a^2-b^2}=\sqrt {11}$. The ellipse is centered at $(0,2)$ with a vertical major axis.
Step 2. We can graph the equation as shown in the figure with foci at $(0,2\pm\sqrt {11})$.
