Find the amplitude period phase shift and vertical shift the

Find the amplitude, period, phase shift and vertical shift, then sketch the graph of the function g(x) = 4 sin (pi/2 (x - 3)) + 2

Solution

Given g(x) = 4*sin[(/2)*(x - 3)] + 2

Compare this with y = A sin(Bx + C) + D

where amplitude is A = 4

period = 2/B = 4

phase shift = C/B = (3/2)/(/2) = 3

vertical shift = D = 2