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Copy of Graphing Sine & Cosine Functions (I)

Author:Svetlana, Tim Brzezinski
This applet accompanies the 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).    f(x) = a sinb(x+c) + d    g(x) = a cos(x+c) + d Use this applet to help you complete the questions in this investigation.

1.

The parameter a is called the amplitude of either graph. How would you describe the term amplitude in your own words? What does the amplitude a do to the graph of either function?

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 b decreases? Increases?

4.

How does the parameter c affect the graph of either parent function? How does the graph of this parent function change if c > 0? How does the graph of this parent function change 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 d > 0? How does the graph of this parent function change if d < 0?

This applet accompanies the 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.

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