Periodic Functions and Transformations

Front

What is a periodic function?

Back

A periodic function is a function that repeats its values at regular intervals or periods.

Front

How can you identify a periodic graph?

Back

A graph is periodic if a unique section repeats over and over again.

Front

What is the amplitude of a periodic function?

Back

The amplitude is the maximum distance from the center line to the peak or trough of the graph.

Front

How is the period of a function defined?

Back

The period of a function is how long one cycle is before the function repeats.

Front

What is the general form of a cosine function?

Back

Front

What does the parameter A represent in the cosine function?

Back

The parameter A represents the amplitude of the function.

Front

How do you calculate the period of a cosine function?

Back

Front

What is the effect of changing the value of B in the cosine function?

Back

Changing the value of B affects the period of the function; a larger B results in a shorter period.

Front

What does a vertical shift in a periodic function do?

Back

A vertical shift moves the graph up or down without affecting its shape or period.

Front

What is the phase shift in a periodic function?

Back

The phase shift is the horizontal shift left or right of the graph, determined by the value of C in the function.