Question

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

A. Amplitude = 3; period = pi over two; phase shift: x = negative pi over four
B. Amplitude = −3; period = pi over two; phase shift: x = pi over four
C. Amplitude = −3; period = negative pi over two; phase shift: x = negative pi over four
D. Amplitude = 3; period = 2π; phase shift: x = negative pi over four

Answer 1

Answer:Amplitude = 3.

Period = π/2.

Phase shift = -π/4

Step-by-step explanation: The given signal is

(x) = -3 cos(4x + π) + 6

The amplitude is |-3| = 3

If T is the period, then

(2π)/T = 4

4T = 2π

T = π/2

The period is π/2.

The phase shift is -π/4.

The vertical shift is 6.