Steps to graphing a trig function

1. Identify if there’s a negative and which way it will start.

2. Find the period

3. Find the Amplitude

4. Write your five imp. Points – 0, pi/2, pi, 3pi/2, 2pi

5. Divide every point by B

6. If anything is added or subtracted in parenthesis do the opposite for all five points

7. Sketch

8. Shift points up or down if anything is added or subtracted outside of parenthesis *it goes the same way

Ex. Graph y=2sin2x

1. Sketch what the graph will look like

2. P = 2pi/b P = 2pi/2 P = pi

3. Amp = 2

4-6. 0 0/2 = 0

Pi/2 pi/2/2 = pi/4

Pi pi/2 = pi/2

3pi/2 3pi/2/2 = 3pi/4

2pi pi/2 = pi

7. Sketch the graph using the five points

8. Shift points if necessary(not necessary in this problem)