what is the period of the function y = 1/2 sin(x/3 - π)?\n1/2\n1/3\n2/3π\n6π\nquestion 18 1 pts\nwhat is the…

Explanation:

Step1: Recall period - formula for sine function

The period of the function $y = A\sin(Bx - C)+D$ is given by $T=\frac{2\pi}{|B|}$.

Step2: Find period for $y=\frac{1}{2}\sin(\frac{x}{3}-\pi)$

For the function $y=\frac{1}{2}\sin(\frac{x}{3}-\pi)$, we have $B = \frac{1}{3}$. Then $T=\frac{2\pi}{\left|\frac{1}{3}\right|}=6\pi$.

Step3: Find period for $y=\frac{1}{2}\sin(6x)$

For the function $y=\frac{1}{2}\sin(6x)$, we have $B = 6$. Then $T=\frac{2\pi}{|6|}=\frac{\pi}{3}$.

Answer:

Question 17: $6\pi$ Question 18: $\frac{\pi}{3}$