transformation practice i what is the period of the sinusoid y = 1/2 sin(2π/3(x + 4)) + 2? check

Answer:

3

Explanation:

Step1: Recall period formula

For $y = A\sin(B(x - C))+D$, the period $T=\frac{2\pi}{|B|}$.

Step2: Identify B - value

In $y=\frac{1}{2}\sin(\frac{2\pi}{3}(x + 4))+2$, $B = \frac{2\pi}{3}$.

Step3: Calculate the period

$T=\frac{2\pi}{\frac{2\pi}{3}}= 3$.