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Math Help - Predictability of function change

  1. #1
    Junior Member
    Joined
    Jan 2009
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    Post Predictability of function change

    Good evening fellow Mathforum friends I have a question,
    can someone help me explain ways to predictably change the shape of the graph of f(x) without having to re-calculate the function ? any comments would be appreciated.

    Thanks , -AC-
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  2. #2
    Newbie
    Joined
    Apr 2007
    Posts
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    Here are a few cases and I'll explain of g(x) differs from f(x):

    g(x) = f(x-a)
    f(x) is shifted to the right by a to get g(x)

    g(x) = f(x+a)
    f(x) is shifted to the left by a to get g(x)

    g(x) = f(x) + a
    f(x) is shifted up by a to get g(x)


    g(x) = f(x) - a
    f(x) is shifted down by a to get g(x)

    g(x) = -f(x)
    f(x) is flipped along the x-axis to get g(x)

    I hope this helps and is what you wanted. This is all that can be said generally. If f(x) has a specific form (like a sine wave for example) then more things can be said.
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