1. The period of a function, especially for trigonometric functions like sine and cosine, is the length of one complete cycle of the wave. 2. For a function of the form $y = a \sin(bx)$ or $y = a \cos(bx)$, the period $T$ is given by the formula: $$T = \frac{2\pi}{|b|}$$ 3. The coefficient $b$ affects how many cycles occur in a given interval. A larger $|b|$ means more cycles and a shorter period. 4. To find the period, identify the coefficient $b$ in the function and substitute it into the formula. 5. For example, if the function is $y = 3 \sin(4x)$, then $b = 4$ and the period is: $$T = \frac{2\pi}{4} = \frac{\pi}{2}$$ 6. This means the graph repeats every $\frac{\pi}{2}$ units along the x-axis. 7. If you provide the specific function from your earlier graph, I can calculate the exact period for you.