Question

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

Answer 1

Answer:

*The graph is attached below.

Step-by-step 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 $\dfrac{2\pi}{b}$,
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 $\dfrac{2\pi}{2}=\pi$, horizontal shift is $\pi$ towards left (as it is $+\pi$), amplitude is 1 and vertical shift is 0.

Answer 2

The graph of the cosine function is given in the attached image.

The cosine function is one of the three trigonometric functions and it is itself the complement of the sine function.

What is cosine function?

The cosine function is one of the three trigonometric functions and it is itself the complement of the sine function.

The given function is;

$\rm y=cos[2(x+\pi)]$

The standard form of the cosine function is;

$\rm y=acosb(x+c)+d$

The time period of the cosine function is $\rm \dfrac{2\pi}{b}$.

Where;

• a represents the amplitude of the cosine function.

• d represents the vertical shift of the cosine function.

• horizontal shift or phase shift is c, of the cosine function.

To know more about the Cosine function click the link given below.

https://brainly.com/question/3876065