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Find the line of symmetry, the maximum or minimum value of the quadratic function, and graph the function f(x)=-2x^2+2x+9

  • algebra -

    Y = -2X^2 + 2X +9.
    Vertex form: a( X - h)^2 + k.
    h = Xv = -b/2a = -2/-4 = 1/2
    k = Yv = -2(1/2)^2 + 2(1/2) + 9 = 19/2
    V(h,k) = (1/2,19/2). a is negative; the
    parabola opens downward. Therefore, the
    vertex is a max. The line of symmetry is = h = 1/2.

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