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so heres a standard form for our conic sections and our conic sections have included a parabola a circle an ellipse and a hyperbola now im not going to go through every single formula for these but lets just kind of go back and review how we wrote some of the equations for these so a parabola the equation that we use and im just going to give one i know theres horizontal and vertical for all of these but i can just say y minus k squared equals um what was that uh x minus h it was 4p right that was just a general equation for a parabola using our conic sections for a circle we can say x squared plus y squared equals r squared all right for an ellipse ill just do horizontal for ellipse and hyperbola so i can do x minus h oh really i could do x minus h but well use that actually lets do it that way there you go um so x minus h over a squared plus y minus k squared over b squared equals 1. for a hyperbola a vertical hyperbola itd be x minus h squared over a squared minus y minus