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What is the phase shift of F(x) = 3 sin (2x-4)?

User RyJ
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1 Answer

5 votes

Answer: phase shift = 2

Step-by-step 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

User Jeehut
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