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college algebra !!!

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analyze the graph of the following function.

r(x)= x^2+x-6
--------
x^2-x-2

  • college algebra !!! - ,

    r(x) = Y = x^2 + x - 6
    C = -6 = -1(6) = -2(3).
    Select the pair of factors whose sum = 1(B):
    Y = (x-2)(x+3) = 0
    Solution set: X = -2, and 3 = x-Intercepts.
    Axis: x = Xv = -B/2A = -1/2. = h.
    k = Yv = (1/2)^2 -1/2 - 6
    k = -6.25.
    V(h,k) = V(-0.5,-6.25)

    The following points can be used for graphing:
    (x,y).
    (-3,0)
    (-2,-4)
    (-1,-6)
    V(-0.5,-6.25)
    (1,-4)
    (2,0)
    (3,6)

  • college algebra !!! - ,

    Correction:
    Solution set: X = -3, and 2.

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