pls help me out! how do you determine the period of the graph?

Answer:
4π
Step-by-step explanation:
Periodic graphs repeat the same pattern. Here we have a cosine function which clearly repeats itself. Start at (0, 1) and count the number of squares to the right before the graph looks the same; this occurs at (4π, 1). x has increased from 0π to 4π. Thus, the period is 4π.