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, Parabola : Find Equation of Parabola Given the Focus. In this example, we are given that a parabola has a vertex at the origin and we are given the coordinates of the focus. From that, we find the equation of the parabola.