What is the amplitude, period, and phase shift of f(x) = −3 cos(4x + π) + 6?

amplitude = 3

period = π/2

phase shift: x = -π/4

Step-by-step explanation:

Given:

f(x) = −3 cos(4x + π) + 6

which has the general form:

f(x) = A cos(Bx - C) + D

with:

A = -3

B = 4

C = -π

D = 6

The amplitude, period and phase shift is calculated as follows:

amplitude = |A| = |-3| = 3

period = 2*π/|B| = 2*π/|4| = π/2

phase shift: C/B = -π/4

it is a. 4.2 because 7.6-3.4 gets the remaining length of 4.2. i might be wrong but i am pretty sure this is the answer.