College Algebra

Find the standard form of the equation of the parabola with the given characteristics and vertex at the origin. Passes through the point (-5, 1/8); vertical axis.

There is no focus of the parabola or equation given, so how am I suppose to solve this problem?

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  1. Since the axis is vertical, you know it's

    y = a(x-h)^2 + k

    Since the vertex is at (0,0), you know that h=k=0, and thus

    y = ax^2

    1/8 = 25a
    a = 1/200


    y = 1/200 x^2

    All the data you needed was there. Just gotta read it carefully.

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