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Math Help - Graph sketching help

  1. #1
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    Graph sketching help

    On seperate diagrams, sketch the graphs of:
    a) y=(x+3)^2
    and
    b) y=(x+3)^2+k, where k is a positive constant.
    =)
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  2. #2
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    Quote Originally Posted by Tumbleweed17 View Post
    On seperate diagrams, sketch the graphs of:
    a) y=(x+3)^2
    and
    b) y=(x+3)^2+k, where k is a positive constant.
    =)
    Remember our shifting rules for graphs

    f(x-h) shifts the graph of f(x) h units in the x direction.

    f(x) + k shifts the graph of f(x) k units in the y direction.

    So we need to rewrite a) as follows

    Note we will be shifting the graph of f(x)=x^2

    f(x+3)=y=(x+3)^2=[x-(-3)]^2 so since we -3 = h we shift the graph of f(x) three units to the left.

    for b)

    we will shift f(x) up k units..

    Good luck.
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  3. #3
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    Thumbs up Reply to my plea for help =)

    Thanks,
    That was really useful, I didn't realise that it was a shift question!
    Plus thanks for reminding me that
    -3 = h and that you aren't always givent the function to tell you what the question is asking.
    Thanks! =)
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