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Math Help - sketch the curve

  1. #1
    Junior Member
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    sketch the curve

    i have attched the problem which i am having trouble with
    Attached Thumbnails Attached Thumbnails sketch the curve-untitled-3.jpg  
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  2. #2
    Super Member

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    Hello, carlasader!

    Exactly where is your difficulty?
    . . Are you at all familiar with "translations"?


    a)\;\;y \:=\:f(\text{-}x)

    Replacing x with \text{-}x reflects the graph across the y-axis.
    . . The graph is a left/right mirror-image.


    b)\;\;y = -f(x)

    Replacing f(x) with \text{-}f(x) reflects the graph across the x-axis.
    . . The graph is an up/down mirror-image.


    c)\;\;y = f(|x|)

    Replacing x with |x| reflects the right half of the graph
    . . onto the left side.

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