This worksheet demonstrates basic function transformations and combinations of transformations.  There are six possible transformations:
horizontal and vertical shifts, 
horizontal and vertical stretches/compressions, and 
x-axis and y-axis reflections.
The first 3 settings are horizontal transformations;  the last 3 settings are vertical transformations.
The original function f(x) = sin x shown in black (and doesn't change).  The transformed function g(x) is shown in blue.    
    
    
    
     
                             
        