Amplitude, Period and Midline

Front

What is the definition of amplitude in a trigonometric function?

Back

Amplitude is the maximum distance from the midline to the peak (or trough) of the graph of a periodic function.

Front

How do you calculate the period of a trigonometric function of the form y = A sin(Bx) or y = A cos(Bx)?

Back

The period is calculated as 2π/|B|.

Front

What is the midline of a trigonometric function?

Back

The midline is the horizontal line that runs through the middle of the graph, representing the average value of the function.

Front

What is the period of y = 4cos(5x)?

Back

The period is 2π/5.

Front

What is the amplitude of y = 3sin(x)?

Back

The amplitude is 3.

Front

What is the period of y = 2sin(2x)?

Back

The period is π.

Front

How does changing the value of A in y = A sin(x) affect the graph?

Back

Changing A affects the amplitude of the graph; larger values of A increase the height of the peaks and depth of the troughs.

Front

What is the effect of changing B in y = A sin(Bx)?

Back

Changing B affects the period of the graph; larger values of B decrease the period.

Front

What is the amplitude of y = -5cos(x)?

Back

The amplitude is 5 (amplitude is always positive).

Front

What is the midline of the function y = 2sin(x) + 3?

Back

The midline is y = 3.