Question

What is the period of the graph of y
5cos(4x + 1) + 3?

Answer 1

Period is
`(\pi)/(2)`

Explanation:

For the function
`y=acos(bx-c)+d`, the period is
`(2\pi)/(|b|)`.

Therefore, the period of the function is
`(2\pi)/(|b|)=(2\pi)/(|4|)=(2\pi)/(4)=(\pi)/(2)`.

What this means is that the function's wave cycle will repeat every
`(\pi)/(2)` units.

Answer 2

period=(2π-1)/4

Explanation:

4x+1=2π

4x=2π-1

x=(2π-1)/4