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State the amplitude, period, phase shift, and vertical shift of the function m(t)= 7 cos (t+3)

State the amplitude, period, phase shift, and vertical shift of the function m(t)= 7 cos-example-1
User Imogen
by
4.1k points

2 Answers

0 votes

Answer:

B

Explanation:

I took the test

User Alex Leibowitz
by
4.3k points
4 votes

Answer:

B

Explanation:

Given a sinusoidal function in the form
f(x)=Acos(Bx+C)+D, we can say:

  • A is the amplitude

  • (2\pi)/(B) is the period

  • -(C)/(B) is the phase shift
  • D is the vertical shift

From the function given m(t) = 7 Cos (t+3), we see that

A = 7

B = 1

C = 3

D = 0

Thus, from the info, we can say

Amplitude = 7

Period = 2π

Phase Shift = -3

Vertical Shift = 0

Answer choice B is right.

User Alex Leo
by
4.8k points