Question

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

Answer 1

Answer:

period=(2π-1)/4

Step-by-step explanation:

4x+1=2π

4x=2π-1

x=(2π-1)/4

Answer 2

Answer:

Period is $\frac{\pi}{2}$

Step-by-step explanation:

For the function $y=acos(bx-c)+d$, the period is $\frac{2\pi}{|b|}$.

Therefore, the period of the function is $\frac{2\pi}{|b|}=\frac{2\pi}{|4|}=\frac{2\pi}{4}=\frac{\pi}{2}$.

What this means is that the function's wave cycle will repeat every $\frac{\pi}{2}$ units.