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A parabola passes through the point (3, 5) on its way to the vertex at (7, 11). Determine the equation in vertex form that represents this parabola.

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  1. knowing the vertex, you know that
    y = a(x-7)^2 + 11
    So, using the other point, just solve for a in

    5 = a(3-7)^2+11

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