what is the amplitude of the function y = 2/3 sin 3x?\n1\n2/3\n3\n2π/3\nquestion 7 1 pts\nwhat is the period…

Explanation:

Step1: Recall amplitude formula

For $y = A\sin(Bx)$, the amplitude is $|A|$. For $y=\frac{2}{3}\sin(3x)$, $A = \frac{2}{3}$, so the amplitude is $\left|\frac{2}{3}\right|=\frac{2}{3}$.

Step2: Recall period formula

For $y = A\sin(Bx)$, the period is $T=\frac{2\pi}{|B|}$.

For $y = 4\sin(2x)$

$B = 2$, so $T=\frac{2\pi}{|2|}=\pi$.

For $y=\sin(2x)$

$B = 2$, so $T=\frac{2\pi}{|2|}=\pi$.

Answer:

Question 1: B. $\frac{2}{3}$ Question 7: A. $\pi$ Question 8: C. $\pi$