Analytic Geometry

Find the standard and general equation of a parabola with a vertex at (0,0) and graph passing through (3,5) Axis of Symmetry at x-axis.

  1. 1
asked by Meiza
  1. Since you know the vertex, your equation must be
    x = a(y-0)^2 + 0 , if the axis of symmetry is horizontal
    x = ay^2
    but (3,5) lies on it, so
    3 = a(25)
    a = 3/25

    x = (3/25)y^2
    or
    25x = 3y^2

    posted by Reiny

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