The general form of a sine function is
y = Asin(B(x + c) + D
where
amplitude = A
period = 2pi/B
phase shift = c
vertical shift = D
The given function is
g(t) = 4sin(3t) + 2
From the function,
amplitude = 4
B = 3
period = (2 x 3.14)/3 = 2.1
vertical shift = 2
The sketch of the graph is shown below
The graph of the function is shown below
