Question

What is the period of the graph of y = 5 sin (4pi x) + 3?

A. 4pi
B. 1/2
C. 3
D. 5

Answer 1

Explanation:

Equate whats inside (arguments) \sin with base period of sine function 2\pi and solve for x to get period,

\pi x=2\pi\implies x=2

So the period of the graph of the given function is precisely 2.

Hope this helps :)