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14 September, 21:55

Which functions have an axis of symmetry of x = - 2? Check all that apply. A. f (x) = x^2 + 4x + 3 B. f (x) = x^2 - 4x - 5 C. f (x) = x^2 + 6x + 2 D. f (x) = - 2x^2 - 8x + 1 E. f (x) = - 2x^2 + 8x - 2

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  1. 15 September, 01:37
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    A. f (x) = x^2 + 4x + 3

    D. f (x) = - 2x^2 - 8x + 1

    Step-by-step explanation:

    The axis of symmetry is found by h = - b/2a where ax^2 + bx + c

    A. f (x) = x^2 + 4x + 3

    h = - 4/2*1 = - 2 x=-2

    B. f (x) = x^2 - 4x - 5

    h = - - 4/2*1 = 4/2 = 2 x=2 not - 2

    C. f (x) = x^2 + 6x + 2

    h = - 6/2*1 = - 3/2 = x=-3/2 not - 2

    D. f (x) = - 2x^2 - 8x + 1

    h = - - 8/2*-2 = 8/-4 = -2 x=-2

    E. f (x) = - 2x^2 + 8x - 2

    h = - 8/2*-2 = - 8/-4 = 2 x=2 not - 2
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