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math

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answer the following for the given quadratic function.

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

a. what is the vertex (h,k) of f?
(h,k)=? simplify your answer and type the answer in an ordered pair

b. what is the axis of symmetry?

  • math -

    a. (0,-8) is the vertex

  • math -

    b. axis of symmetry is zero.

  • check - math -

    I have a feeling there is a typo.
    Why would anybody have two like terms in the equation ?

    should it be
    f(x) = x^2 + 2x - 8 ????

  • math -

    Yes, Reiny you caught the typo

    It should read f(x)=x^2+2x-8, thank you for catching that. So, now my answers will change that Riana gave. Right?

  • math -

    yes,
    complete the square ....

    f(x) = x^2 + 2x +1 - 1 -8
    = (x+1)^2 - 9

    vertex is (-1,-9)
    axis of symmetry: x = -1 or x+1 = 0

  • math -

    then your vertex is (-2,8)
    and axis will be -1

  • math -

    the vertex can't be (-1,-9) its incorrect.

  • math -

    NO, check my reply

  • math -

    Yes it is !

    http://www.wolframalpha.com/input/?i=plot+x%5E2+%2B+2x+-+8

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