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Math Help - Linerazation and Parabolization

  1. #1
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    Linerazation and Parabolization

    In calc, we are studying parabolization. It is the linerazation of a parabola. The linerazation of a standard line is L(x) = b0+b1(x-a) when f(x) is at x=a

    b0 = f(a)
    b1=f'(a)

    The parabolization of f(x) at x=a is given by the equation
    P(x)=c0+c1(x-a)+c2(x-a)^2.

    f(a) = P(a)
    F'(a) = P'(a)
    f''(a) = P''(a)

    I need to find a formula for c0, c1, and c2 in terms of f(a), f'(a) and f"(a)

    Im sure that I need to find the first and second derivitive of the equation
    L(x)=c0+c1(x-a)+c2(x-a)^2. Im just not sure where to start...

    I believe that c0=f(a), c1=f'(a), and c2=f"(a), but Im not sure if that helps.
    Thanks!

    Matt
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  2. #2
    Newbie Jay Gatsby's Avatar
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    Cross-reference with the responses received here:

    S.O.S. Mathematics CyberBoard :: View topic - linerization and parabolazation
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