what is the period of the graph of y = 5 sin (πx) + 4? a. 4 b. 2 c. π d. 5

Explanation:

Step1: Recall sine - function period formula

The general form of a sine function is $y = A\sin(Bx - C)+D$, and its period $T=\frac{2\pi}{|B|}$.

Step2: Identify the value of B

For the function $y = 5\sin(\pi x)+4$, we have $B = \pi$.

Step3: Calculate the period

Substitute $B=\pi$ into the period formula $T=\frac{2\pi}{|B|}$, so $T=\frac{2\pi}{\pi}=2$.

Answer:

B. 2