Final answer:
The formula that tells us the period in the generic form y = Asin(Bx + C) + D is 2π / B.
Step-by-step explanation:
In the generic form, y = Asin(Bx + C) + D, the formula that tells us the period is given by:
Period (T) = 2π / B
Where:
- A is the amplitude of the function
- B is the coefficient of x, which determines the rate of change and thus the period
- C is the phase shift of the function
- D is the vertical shift of the function
For example, if the function is y = 3sin(2x + π/4) + 2, then the period is T = 2π / 2 = π.