Question

help pls :) !!!!!!!!!!!!!!!!!

Answer 1

Answer:

$\displaystyle \text{A) }-\frac{2\pi}{3}$

Step-by-step explanation:

Trigonometric Functions

Horizontal shifts of trigonometric functions are changes that affect the input axis values and shift the function left or right.

If the function is to be shifted left a units, then the variable x is replaced by x+a and if the function is shifted right a units, then x is replaced by x-a.

The function is:

$y=2\cos\left(x+\frac{2\pi}{3}\right)+1$

Note the argument of the cosine is $x+\frac{2\pi}{3}$ which means the value of a is $-\frac{2\pi}{3}$ and the function is shifted left by $\frac{2\pi}{3}$.

Answer:

$\displaystyle \text{A) }-\frac{2\pi}{3}$