For the equation y = 3 sin ( pi/2 x - pi/4 ) - 3 give:
the amplitude of the graph:
the period of the graph:
the vertical translation of the graph:
the phase shift of the graph
a graph of the equation covering one complete period, showing the exact x- and y- coordinates of the highest and lowest point.
SO this is what I know...
the amplitude is 3 since it's the coefficient, the number before sin
and the verticle translation is -3
the period and phase shift is where I am confused because my textbook tells me that:
The graphs of y = A sin (Bx + C) and y = A cos (Bx + C), where B > 0, will have
Period = 2pi / B Phase Shift = -C/B
So would that mean the period in the above equation is 2pi / pi/2 = 4?
And the phase shift is -pi/4 / pi/2 = -1/2?