Hyperbola and Ellipse

Change the values of h, k, a, and b to see how it effects the ellipse and the equation of the ellipse.
1. How are the equations for the vertical hyperbola and the horizontal hyperbola different?[br][br]2. Why aren't there different equations for the vertical and horizontal ellipse?[br][br]3. How do a and b effect the asymptotes?

Information: Hyperbola and Ellipse