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Math Help - Graphing absolute-value functions

  1. #1
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    Graphing absolute-value functions

    How do i graph absolute value function with x^2?

    f(x) = |x^2 - 2|

    What happens or how does it move if changing f(x)m for example - f(x), f(x+3), f(x) + 3 ??

    Anybody who knows a good website that explains this?

    Thanks
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  2. #2
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    Re: Graphing absolute-value functions

    Quote Originally Posted by ronaldopeter View Post
    How do i graph absolute value function with x^2?

    f(x) = |x^2 - 2|

    What happens or how does it move if changing f(x)m for example - f(x), f(x+3), f(x) + 3 ??

    Anybody who knows a good website that explains this?

    Thanks
    To plot the modulus of a function reflect any negative part of f(x) in the x axis.

    In your example reflect the portion between (-\sqrt{2},0) \text{  and  } (\sqrt{2},0}) in the y axis


    |f(x)|+a is moving the graph by a on the y axis. It can go negative if a is sufficiently negative

    |f(x+h)| is a translation of f|x| on the x axis.

    a|f(x)| can be +ve or -ve depending on the value of a.


    For example -|f(x)| \leq 0


    edit: for your example see these wolfram alpha plots
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  3. #3
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    Re: Graphing absolute-value functions

    Quote Originally Posted by ronaldopeter View Post
    How do i graph absolute value function with x^2?

    f(x) = |x^2 - 2|

    What happens or how does it move if changing f(x)m for example - f(x), f(x+3), f(x) + 3 ??
    it's called transformation of functions ... try a google search.

    f(x) , -f(x) , f(x+3) , f(x) + 3
    Attached Thumbnails Attached Thumbnails Graphing absolute-value functions-parabolaabstrans.jpg  
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