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Math Help - sketching functions

  1. #1
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    sketching functions

    Given f(x) = 1/x^2, sketch the graph of y = -f(x + 1) + 4.


    Unsure how to do this!
    any help would be appreciated!
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  2. #2
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    Quote Originally Posted by scubasteve94 View Post
    Given f(x) = 1/x^2, sketch the graph of y = -f(x + 1) + 4.
    start by sketching the parent function f(x) = 1/x^2

    the following transformations to f(x) = 1/x^2 occur in the order given ...

    1. f(x+1) ... horizontal shift left 1 unit

    2. -f(x+1) ... reflect over the x-axis

    3. -f(x+1) = 4 ... vertical shift up 4 units

    that's all folks.
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