1 Answer

Vamsi Nerella · Answer 1 · 2023-03-09T08:18:18+0000

Answer:

$left\text{ }(\pi)/(2)$

The standard formula for expressing cosine functions is given as:

The phase shift is given as;

$phase\text{ shift}=-(c)/(b)$

Given the function

$\begin{gathered} y=-cos(3(x+(\pi)/(2)))-8 \\ y=-cos(3x+(3\pi)/(2))-8 \end{gathered}$

Compare with the general function

C = 3pi/2

B = 3

Find the phase shift

$\begin{gathered} Phase\text{ shift}=(-(3\pi)/(2))/(3) \\ Phase\text{ shift}=-(3\pi)/(6) \\ Phase\text{ shift}=-(\pi)/(2) \end{gathered}$

Since the phase shift is negative, hence the shift is to the left.