#y=asin(bx+c)+h# is the standard form of a sinusoidal function. #a# represents the amplitude and the vertical stretch/shrink. #b# represents the horizontal stretch/shrink. #c# represents the horizontal shift. #h# represents the vertical shift.
If #h# is positive, the graph is shifted up #h# units. If it is negative, the graph is shifted down #h# units. Here, it is shifted up #3# units.
If #c# is positive, the graph is shifted to the left #c# units. If it is negative, the graph is shifted to the right #c# units. Here, it is shifted to the right #pi# units.
