Graphing Sine & Cosine Functions

Complete the following questions using the Sine graph provided below

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 function is said to be a periodic function. [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 the parent function [math]f\left(x\right)=sin\left(x\right)[/math] (If you need a refresher, [url=https://www.geogebra.org/m/dj8jwyNV]click here[/url].) [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]?

Complete the following questions using the Cosine graph provided below

1.