ANSWER
D. Ellipse;
EXPLANATION
The given equation is
Dividing through by 9 gives
This is the equation of an ellipse centered at the origin.
If this ellipse has been translated, so that its center is now at (-1,3), then the equation of the translated ellipse becomes
We multiply through by 9 to get,
Expand to obtain;
Expand to obtain;
Regroup and equate to zero to obtain;