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college algebra

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determine the quadratic function of f whose graph is the vertex of (1,-4) and the y-intercept is -3.

  • college algebra - ,

    since we know the vertex,start with
    y = a(x-1)^2 - 4

    but (0,-3) lies on it , so ...
    -3 = a(0-1)^2 - 4
    -3+4 = a
    a = 1

    y = (x-1)^2 - 4

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