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USPshnik [31]
3 years ago
9

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

Mathematics
2 answers:
valentinak56 [21]3 years ago
4 0
The period of cos is 2π
so the period of cos(4x + π) is 2π/4 = π/2
cos(4x + π) = -cos4x => <span>-3 cos(4x + π) + 6 = 3cos4x + 6 
phase shift may be [-</span>π/4,π/4]
amplitude  is [-3,3]

Crazy boy [7]3 years ago
4 0

Answer:

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

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