Amplitude, Period, Midline, 'B'

Front

What is Amplitude in a trigonometric function?

Back

Amplitude is the maximum distance from the midline to the peak (or trough) of the graph. It is calculated as half the distance between the maximum and minimum values of the function.

Front

How do you calculate the Amplitude of a function?

Back

Amplitude = \frac{1}{2} (Maximum Value - Minimum Value).

Front

What is the Period of a trigonometric function?

Back

The period is the distance along the x-axis required for the function to complete one full cycle. It is determined by the coefficient of x in the function.

Front

Back

Period = \frac{2\pi}{|B|}.

Front

What is the Midline of a trigonometric function?

Back

The midline is a horizontal line that runs through the middle of the graph, representing the average value of the maximum and minimum values.

Front

How do you determine the Midline of a function?

Back

Midline = \frac{1}{2} (Maximum Value + Minimum Value).

Front

Back

The 'B' value affects the period of the function. It determines how many cycles occur in a given interval.

Front

Back

Amplitude = 3.

Front

Back

Period = 4\pi.

Front

Back

Midline = y = 3.