Question

Which of the following illustrates a phase shift?

Answer 1

Answer: The correct answer would be AAAAAAAAAAAAA!!!!

Answer 2

A. y = -2 - cos(x-π)

Step-by-step explanation:

The general form of the trig equation is:

y = A sin (Bx + C) + D

where:

A is the amplitude

`(2\pi)/(B)` is the period

`(-C)/(B)` is the phase shift

D is the vertical shift

Now, let's check the choices:

A. y = -2 - cos(x-π)

`(-C)/(B) = (\pi)/(1) = \pi`

Therefore, the function has a phase shift of π

B. y = 3 cos(4x)

`(-C)/(B) = (0)/(4) = 0`

Therefore, the function has no phase shift

C. y = tan(2x)

`(-C)/(B) = (0)/(2) = 0`

Therefore, the function has no phase shift

D. y = 1 + sin(x)

`(-C)/(B) = (0)/(1) = 0`

Therefore, the function has no phase shift

Based on the above, the correct answer is A

Hope this helps :)