What are the amplitude, period, and phase shift of the given function?
f(t)= -5sin (7t-1)

Answer:
B
Step-by-step explanation:
Given a sinusoidal function in the form f(x) = A Sin (Bx + C), we can say that:
A is the amplitude (if A is negative, the Amplitude is still the positive)
Period is [tex]\frac{2\pi}{B}[/tex]
To get phase shift, we set Bx + C = 0 and solve for x.
Now, the function given is f(t) = -5 Sin (7t -1)
Hence, amplitude is 5
period is [tex]\frac{2\pi}{7}[/tex]
and, phase shift is:
7t - 1 = 0
7t = 1
t = 1/7
Answer choice B is right.