How to graph an ellipse. The standard form of an ellipse is (x-h)^2 / a^2 + (y-k)^2 / b^2 = 1. 1. The ellipse is centered at (h,k). 2. The width is 2a and the height is 2b. 3. Focal points are at plus or minus root (b^2 - a^2) from the center. If the PLUS sign in the standard form were a negative sign, you'd have a hyperbola instead of an ellipse.