Graphing Sine & Cosine Functions
Complete the following questions using the Sine graph provided below
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 function is said to be a periodic function. If you've forgotten what it means for a function to be classified as periodic, click here. What is the period of the parent function (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?
Complete the following questions using the Cosine graph provided below
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 cosine function is said to be a periodic function. If you've forgotten what it means for a function to be classified as periodic, click here. What is the period of the parent function ? (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?