Hello, 14041471!

You've never done one of these before . . . ever?

(a) Write in standard form: .

(b) Find the center and foci of the ellipse.

(a) We have: .

Factor: .

Complete the square: .

Factor: .

Divide by 36: .

(b) The center is: .

We have: .

This is a "horizontal" ellipse; the foci on are the horizontal axis,

. . to the left and right of the center.

Since , we have: .

The foci are: .