# Graphing Sine & Cosine Functions (I)

*activity packet given to you at the beginning of class. These questions also appear below the applet (should you wish to record your responses digitally). Use this applet to help you complete the questions in this investigation.*

**Graphing Sine & Cosine Functions (I)**## 1.

The **parameter a** is called the

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

*in your own words? What does the*

**amplitude****amplitude**

*do to the graph of either function?*

**a**## 2.

The sine and cosine functions are said to be periodic functions.
If you've forgotten what it means for a function to be classified as *periodic*, click here.
What is the period of either parent function or ?
(If you need a refresher, click here.)

## 3.

The **parameter b** is called the

**period**of the function. What happens to the wave as

**decreases? Increases?**

*b*## 4.

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

**if**? How does the graph of this parent function change

*c*> 0**if**?

*c*< 0## 5.

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

**if**? How does the graph of this parent function change

*d*> 0**if**?

*d*< 0