Graphing Sine & Cosine Functions (I)
[color=#000000]This applet accompanies the [/color][i][color=#1e84cc][b]Graphing Sine & Cosine Functions (I)[/b][/color][/i][color=#000000] 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).[br][br]Use this applet to help you complete the questions in this investigation. [/color]
1.
The [b][color=#0000ff]parameter [i]a[/i][/color][/b] is called the [color=#0000ff][b]amplitude[/b][/color] of either graph. How would you describe the term [i][b][color=#0000ff]amplitude[/color][/b][/i] in your own words? [br][br]What does the [b][color=#0000ff]amplitude [/color][/b][i][b][color=#0000ff]a[/color][/b] [/i]do to the graph of either function?
2.
The sine and cosine functions are said to be periodic functions. [br]If you've forgotten what it means for a function to be classified as [i]periodic[/i], [url=https://www.geogebra.org/m/QRmStjFg]click here[/url].[br][br]What is the period of either parent function [math]f\left(x\right)=sin\left(x\right)[/math] or [math]f\left(x\right)=cos\left(x\right)[/math]? [br](If you need a refresher, [url=https://www.geogebra.org/m/dj8jwyNV]click here[/url].) [br][br][br]
3.
The [b][color=#38761d]parameter [i]b[/i][/color][/b] is called the [color=#38761d][b]period[/b][/color] of the function. What happens to the wave as [b][i][color=#38761d]b[/color][/i][/b] decreases? Increases?
4.
How does the [b][color=#ff00ff]parameter [i]c[/i][/color][/b] affect the graph of either parent function? [br][br]How does the graph of this parent function change [b][color=#ff00ff]if [i]c[/i] > 0[/color][/b]? [br]How does the graph of this parent function change [b][color=#ff00ff]if [i]c[/i] < 0[/color][/b]?
5.
How does the [b][color=#980000]parameter [i]d[/i][/color][/b] affect the graph of either parent function? [br][br]How does the graph of this parent function change [b][color=#980000]if [i]d[/i] > 0[/color][/b]? [br]How does the graph of this parent function change [b][color=#980000]if [i]d[/i] < 0[/color][/b]?