what is the period of the graph of y = 5 sin (2πx) + 4?\na. 1\nb. 2π\nc. 5\nd. 4

Explanation:

Step1: Recall sine - function period formula

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

Step2: Identify the value of B

For the function $y = 5\sin(2\pi x)+4$, we have $B = 2\pi$.

Step3: Calculate the period

Substitute $B = 2\pi$ into the period formula $T=\frac{2\pi}{|B|}$, so $T=\frac{2\pi}{2\pi}=1$.

Answer:

A. 1