Question

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

Answer 1

Step-by-step explanation:

Graph the trigonometric function using the amplitude, period, phase shift, and vertical sh Amplitude: 1 Period: it  

Phase Shift: — 2 to the left) Vertical Shift: 0  

x (x) K _2 4 0 4 2 1 0 -1 0 1

The graph and the explanation is in the pictures.

Answer 2

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.