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. For example, the sine and cosine functions are periodic with a period of 2π.

Front

What is the general form of a cosine function?

Back

Front

How do you determine the amplitude of a periodic function?

Back

Front

What is the midline of a periodic function?

Back

Front

What does a vertical shift in a periodic function do?

Back

Front

What is the period of a cosine function?

Back

Front

How does a reflection across the x-axis affect a periodic function?

Back

Front

Back

Changing the value of B affects the period of the function. Specifically, increasing B decreases the period, making the function oscillate more frequently.

Front

What is a real-life example of a periodic function?

Back

A real-life example of a periodic function is the height of a point on a Ferris wheel as it rotates. The height varies in a periodic manner as the wheel turns.

Front

What is the difference between a periodic function and a non-periodic function?

Back

A periodic function repeats its values at regular intervals, while a non-periodic function does not have a repeating pattern and can change continuously.