Graphing Trig Functions

1.) Check if there's a negative and which way the graph will start.

2.) Find the period. [P=2pi/b]

3.) Find the amplitude(how many points up and down the graph goes).

4.) Write the five important points(0, pi/2, pi, 3pi/2, 2pi)

5.) Divide all points by B.

6.) If something is added or subtracted within parentheses, do the opposite on all five points.

7.) Sketch the graph.

8.) Shift the points up or down if anything was added or subtracted outside of parentheses.

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Example:

y=2sin 2x

A=2, B=2

1.) Sketch. Looks all squiggly. See figure A.

Figure A. (~~~~~~~)

2.) P=2pi/b => P=2pi2 => P=pi

3.) Amp=2

4.) 5.) 6.)

0 = 0/2 = [0]

pi/2/2 = [pi/4]

pi/2 = [pi/2]

3pi/2/2 = [3pi/4]

2pi = [pi]

7.) Sketch:

0 pi/4 pi/2 3pi/4 pi

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8.) Doesn't apply.