Question

What are the amplitude, period, and phase shift of the given function? f(t)= -1/2 sin (3t-2π)

Answer 1

Answer:

C

Step-by-step explanation:

For a sine/cos function given in the form f(x) = A sin (Bx+C) , we can say:

|A| is the amplitude

2π/B is the period, and

-C/B is the phase shift

For the function given $f(t)=-\frac{1}{2}sin(3t-2\pi)$

A = $\frac{1}{2}$

B = 3

C = -2π

Using the information given, we can find:

Amplitude is $|-\frac{1}{2}|\\=\frac{1}{2}$

Period is $\frac{2\pi}{3}$

Phase Shift is $-\frac{-2\pi}{3}\\=\frac{2\pi}{3}$

Hence, the correct answer choice is C