Modify the text discussion of the cycloid (and its accompanying diagram) to handle the case where the

Question:

Modify the text discussion of the cycloid (and its accompanying diagram) to handle the case where the point P is b < a units from the center of the wheel. Show that the corresponding parametric equations are
x = at - b sin t, y = a - b cos t
Sketch the graph of these equations (called a curtate cycloid) when a = 8 and b = 4.