Question

question 24 of 40
what is the period of the graph of ( y=\frac{1}{2}sin(2x)-3 )?
a. 3
b. ( \frac{1}{2} )
c. ( pi )
d. 2

Explanation:

Step1: Recall sine function period formula

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

Step2: Identify B in the given function

Given $y = \frac{1}{2}\sin(2x) - 3$, so $B = 2$.

Step3: Calculate the period

Substitute $B = 2$ into the formula: $\frac{2\pi}{2} = \pi$.

Answer:

C. $\pi$