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Math Help - determine equation of a quadratic function

  1. #1
    Senior Member euclid2's Avatar
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    determine equation of a quadratic function

    a quadratic function has the following characteristics: g''(1)=6,g'(1)=3, and g(1)=1. determine a possible equation for this function.

    i got g(x)=3x^2-3x+1 and was wondering if anyone can verify.
    Last edited by euclid2; September 4th 2010 at 06:10 AM.
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  2. #2
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    Quote Originally Posted by euclid2 View Post
    a quadratic function has the following characteristics: g''(1)=6,g'(1)=3, and g(1)=1. determine a possible equation for this function.

    i got g(x)=3x^2=3x+1 and was wondering if anyone can verify.
    I think that you mean minus where you have =.

    Other than that it is good to go.
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  3. #3
    MHF Contributor chisigma's Avatar
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    The 'simplest' function that 'meets' the requirements is the 'Taylor polynomial'...

    \displaystyle g(x)= g(1) + g^{'} (1)\ (x-1) + g^{''} (1)\ \frac{(x-1)^{2}}{2}= 1- 3\ x + 3\ x^{2} (1)

    Kind regards

    \chi \sigma
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