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SOMETHINGS' MATHEMATICAL,     TOO


 TRANSFORMATIONS  5

Summary

Rigid Transformations:  these do not change the basic shape or size of the figure,  that is,  horizontal or vertical translations or reflections.  Therefore,  where c is any constant,

Vertical movement:
                                   f(x)  +  c  up                       f(x)  -   c   vertical 2
 

Horizontal movement:

                                left                     right

                                       f(x + c)                                      f(x - c)
 

Reflections:
                             x axis                                                        y axis

      - f(x)   x axis                       f(- x) y axis
 
 
 

Non rigid transformations will stretch or shrink the original figure.  That is,  a dilation,  or geometric transformation.  Therefore for the constant, c:

                     where c1  > 1                                        where  0 < c 2 < 1

      c1 f(x)  nonrigid2                 c2 f(x) nonrigid2

                    where the transformed graph is shown as the broader line
 
 

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