Periodic Functions and Transformations

Front

What is the midline of a periodic function?

Back

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

Front

What does amplitude refer to in periodic functions?

Back

Amplitude refers to how high and low the function varies from the center line.

Front

What is the equation of the cosine function if it has an amplitude of 2 and a vertical shift of -1?

Back

Front

Define the period of a periodic function.

Back

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

Front

How can you determine if a graph represents a periodic phenomenon?

Back

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

Front

What is the general form of a sine function?

Back

Front

What is the effect of changing the amplitude in a sine or cosine function?

Back

Changing the amplitude stretches or compresses the graph vertically.

Front

What does a negative amplitude indicate in a periodic function?

Back

A negative amplitude reflects the graph across the midline.

Front

What is the relationship between the period and frequency of a periodic function?

Back

Frequency is the reciprocal of the period; frequency = 1/period.

Front

What is the effect of changing the period in a sine or cosine function?

Back

Changing the period stretches or compresses the graph horizontally.