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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  f(x) - c 
Horizontal movement:
 
f(x + c) f(x - c)
Reflections:
x axis y axis
- f(x)  f(- x) 
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)  c2 f(x) 
where the transformed graph is shown as the broader line
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