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Determine whether the given quadratic function has a minimum value or maximum value. Then find the coordinates of the minimum or maximum point.f(x) = x2 + 2x - 9

  • math -

    since the coefficient of x^2 is positive, we know the parabola opens upward, so it minimum.

    The vertex of the parabola is at x = -1, so plug that in to get y.

    Or, complete the square:

    y = x^2+2x+1 - 8
    y = (x+1)^2 - 8
    y+8 = (x+1)^2

    Now you can just read off the coordinates.

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