Thanks to all of you who support me on Patreon. You da real mvps! $1 per month helps!! 🙂 https://www.patreon.com/patrickjmt !! Conic Sections, Hyperbola: Find, Equation Given Foci and Vertices. In this example, we are given the vertices and the foci of an ellipse. We then find the equation of the ellipse.