Question

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

Answer 1

Answer:

B

Step-by-step explanation:

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

• A is the amplitude
• $\frac{2\pi}{B}$ is the period
• $-\frac{C}{B}$  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.