Question

Which of the following has a graph that is an ellipse centered at (−2, 3)

Answer 1

The vertex equation of an ellipse is;

`((x-h)^2)/(a^2)+((y-k)^2)/(b^2)=1`

Thus, given the center;

`(h,k)=(-2,3)`

Then, the equation whose graph is an ellipse centered at (-2,3) is;

`((x+2)^2)/(12)+((y-3)^2)/(18)=1`