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Math Help - Transformations/Basic Functions

  1. #1
    Member
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    Apr 2009
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    Transformations/Basic Functions

    For the function g(x)=:

    a. Identify the basic function.
    I believe it is the root function ( f(x)=).

    b. Identify all the transformations (in proper order) performed to f(x) in order to attain g(x).
    Well, from my really crappy understanding of transformations, there's a vertical shift upward by 2. I believe that is it. It also has a horizontal reflection.

    c. Sketch the graph of g(x).
    After putting it into my graphing calculator, it looks like it has a vertical and horizontal reflection.
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  2. #2
    Senior Member
    Joined
    Jul 2009
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    Hi BeSweeet

    I think the basic function is correct. Then, it will change to :
    1. f(x) = \sqrt{-x} ------> the transformation needed is ....
    2. f(x) = -2\sqrt{-x} -----> the transformation needed is ....
    3. f(x) = -2\sqrt{-x}+2-----> the transformation needed is ....

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