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college algebra

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find the equation of a parabola that opens to the right with given vertex: (0,3) and passes through the point: (2,-1)

  • college algebra -

    with a vertex of (0,3) and opening up to the right, the equation is

    x = a(y-3)^2 + 0
    but it passes through (2,-1)
    2 = a(16)
    a = 1/8

    x = (1/8)(y-3)^2
    8x = (y-3)^2

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