Question

Question #576a4

Answer 1

No, there is no phase shift, although there is an offset and magnitude.

Explanation:

The most common reference sinusoid function is the `cos` function:

`y=cos(x)`

graph{cos(x) [-10, 10, -2, 2]}

We should be able to generate any general oscillation using this function by adding some change to one or more of the parameters. The full parameterization of the `cos` function can be written as:

`y= A cos (omega*x - phi) + C`

where
`A` is the amplitude
`omega` is the angular frequency
`phi` is the phase shift
and `C` is the offset

Let's take an example where we have changed some of these parameters:

`A=0.5`
`omega=2`
`phi = 1`
`C=1`

Looking at the formula that we were given:

`f(x) = 2 cos(x) -2`

we can see that there is a change in amplitude, and an offset, but no change in frequency or phase.