Answer
Ellipse shifted 2 units right and 1 unit down
Work Step by Step
This conic is an ellipse. Notice from the graph that the center of the ellipse is shifted 2 units right and 1 unit down. This can be verified from the equation:
$\frac{(x-2)^2}{9}-\frac{(y+1)^2}{4}=1$
The $(x-2)$ means that the center is shifted two units right (across the x-axis). The $(y+1)$ means that the center is shifted one unit down (the y-axis).
