Question

Which function has a phase shift of π/2 to the right

A.) y = 2sin( 1/2 x + pi )

B.) y = 2sin(2x + pi )

C.) y = 2sin(x + pi/2)

D.) y = 2sin(x - pi )

E.) y = 2sin(2x - pi )

Answer 1

Your answer is going to be E.) y = 2sin(2x - pi ).

Answer 2

The answer is the option E, which is: E.)
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The explanation for this answer is shown below:

1. By definition, you have the phase shift is:

`aSin(bx+c)\\ pshift=-c/b`

2. When you substitute the values from the function
`y = 2sin(2x -\pi )`, where
`c=-\pi` and
`b=2`, you obtain:

`pshift=-(-\pi )/2=\pi /2`