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TRANSFORMATIONS 3

Here are some examples of transformations on algebraic equations representing functions.  The graph of the original function is shown with a broader line than its image under the translation.

Translations slide the figure vertically or horizontally and do not change its size or shape.

Transformed function is  x 3                        Transformed function is  x 2

    1.   f(x)  =  x 3   +  3                                        2.   g(x)  =  x 2  +  4

      translation 1                                      translations 2
 

     3.  f(x)  =  x 3  -  3                                         4.    g(x)  =  x -  4

      translation 3                                       translations 4
 

   5.   f(x)  =  (x  +  3) 3                                    6.   g(x)  =  (x  +  4) 2

      translation 5                                       translations 6
 

   7.   f(x)  =  (x  -  3) 3                                     8.   g(x)  =  (x  -  4) 2

      translation 7                                        translation 8
 

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Algebra/Calculus

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Applications 
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