You should print this worksheet, see below, or you can make up your own functions to study.

Then click link to go to the Graphing ACTIVITY.

Click here for the Geogebra activity: Graphing Sine and Cosine Functions with Variations

*Worksheet for Graphing Sine and Cosine:*

Use pencil and paper to copy each of these graphs that Geogebra will create for you.

You should have 12 separate graphs.

Can you predict the graph changes?

Try some yourself. If you use y=2sin(x) what graph will you have?

Change the 2 to 3 or -3, what happens to the graph. The amplitude changes.

Try other combinations. y=sin(2x). This 2 will affect the period of the function rather than the amplitude.

1. SINE function

A. period=2pi amplitude = 3 Equation_________

B. period=2pi amplitude = 3 up 3 Equation_________

C. period=2pi amplitude = 3 up 3 left pi/4 Equation_________

D. Complete each graph and also state the "5 points" for B. and C. on the graph.

Does your graph match the info I gave you for C? I hope so HOW can you know for sure?

2. SINE function

A. period=pi amplitude = 3 Equation_________

B. period=pi amplitude = 3 down 1 Equation_________

C. period=pi amplitude = 3 down 1 right pi/2 Equation_________

D. Complete each graph and also state the "5 points" for B. and C. on the graph.

3. COSINE function

A. period=2pi amplitude = -2 Equation_________

B. period=2pi amplitude = -2 up 1 Equation_________

C. period=2pi amplitude = -2 up 1 right pi/4 Equation_________

D. Complete each graph and also state the "5 points" for B. and C. on the graph.

4. COSINE function

A. period= 4pi amplitude = 3 Equation_________

B. period=4pi amplitude = 3 down 2 Equation_________

C. period=4pi amplitude = 3 down 2 right pi/3 Equation_________

D. Complete each graph and also state the "5 points" for B. and C. on the graph.

**Let me know if you need help. If you need the equations then email me. Be specific in you request as I have many online students studying different topics.**

Susan Johnsey sjohnsey at bellsouth dot net