Answer: phase shift = 2
Explanation:
The general equation of a sine function is expressed as
f(x) = ASin(Bx - C) + D
where
A = amplitude
C = phase shift
D = vertical shift
The given function is
f(x) = 3sin(2x-4)
By 2 is common to 2x - 4. By factorizing 2 out, we have
f(x) = 3sin(2(x-4/2) = 3sin(2(x - 2)
Thus,
phase shift = 2
