Question

Which of the following is the graph of y=cos[2(x+pi)]

Answer 1

*The graph is attached below.

Explanation:

The given function is,

`y=\cos 2(x+\pi)`

We know that, in the function

`y=a\cdot \cos b(x+c)+d`

1. period is
   `(2\pi)/(b)`,
2. horizontal shift or phase shift is c,
3. amplitude is a,
4. vertical shift is d.

Hence, in the given function the period is
`(2\pi)/(2)=\pi`, horizontal shift is
`\pi` towards left (as it is
`+\pi`), amplitude is 1 and vertical shift is 0.