Examine the graphs of the functions y=a*sin(bx+c)+d and y=a*cos(bx+c)+d. Use the sliders to create a variety of these functions.
In particular, notice how the value of "c" affects the graph. If b=1 and c=2, how is the graph affected? If b=2 and c=2, how is the graph affected? Predict what will happen if b=1 and c=2. Test your prediction. Were you right?