# Graphs of Sine & Cosine Functions

- Author:
- L. Marizza A. Bailey, Tim Brzezinski

## 1.

The **parameter a** is called the

**amplitude**of either graph. How would you describe the term

*in your own words?*

**amplitude**## 2.

What does the **amplitude *** a *do to the graph of either function?

## 3.

The **period **of a function is the length of the largest interval in its domain before it repeats itself.The sine and cosine functions are said to be periodic functions because they have periods. To learn more about *periodic functions*, click here.
What is the period of both parent functions or ?
(If you need a hint, click here.)

## 4.

The **parameter b** gives the

**period**of the function by the formula . What happens to the wave if b is between 0 and 1?

## 5.

How does the **parameter c** affect the graph of either parent function?
How does the graph of this parent function change as

*c*increases## 6.

How does the **parameter d** affect the graph of either parent function?
How does the graph of this parent function change as

**?**

*d*increases