## How do you find the amplitude and period of a function?

Amplitude is the distance between the center line of the function and the top or bottom of the function, and the period is the distance between two peaks of the graph, or the distance it takes for the entire graph to repeat.

Using this equation: Amplitude =APeriod =2πBHorizontal shift to the left =CVertical shift =D.

## What is amplitude and period?

Amplitude, Period, Phase Shift and Frequency. Some functions (like Sine and Cosine) repeat forever. and are called Periodic Functions. The Period goes from one peak to the next (or from any point to the next matching point): The Amplitude is the height from the center line to the peak (or to the trough).

## How do I find the period of a function?

If your trig function is either a tangent or cotangent, then you’ll need to divide pi by the absolute value of your B. Our function, f(x) = 3 sin(4x + 2), is a sine function, so the period would be 2 pi divided by 4, our B value.

## What is the formula of amplitude?

Amplitude Formula. For an object in periodic motion, the amplitude is the maximum displacement from equilibrium. For example, a pendulum swings through its equilibrium point (straight down), then swings to a maximum distance away from the center. At time t = 8.50 s, the pendulum is 14.0 cm from its equilibrium position