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12 January, 07:55

Find the standard form of the equation of the parabola with a vertex at the origin and a focus at (0, 9).

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  1. 12 January, 08:13
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    First we write standard form that includes both vertex and focus. The formula goes like this:

    (x-h) ^2 = 4*p * (y-k)

    h and k are coordinates of vertex. since vertex is at beginning that means that h=k=0

    p is focal lenght and in our case it is 9

    expressing al of this we get:

    x^2 = 4*9*y

    x^2 = 36y

    y = 1/36 * x^2
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