#### Below is the general from for the translation(h,k) of an ellipse with a vertical major axis.

Compare the two ellipses below, the the ellipse on the left is centered at the origin, and the righthand ellipse has been translated to the right.

Ellipse not centered at origin

Compare the two ellipses below, the the ellipse on the left is centered at the origin, and the righthand ellipse has been translated to the right.