Graphing Trig Functions

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Presentation transcript:

Graphing Trig Functions Graphing Trig Functions SAMM Sections 2.7 and 2.8 Amplitude and Period - Notes

Graphing Terminology Amplitude—The maximum or minimum vertical distance between the graph and the x-axis. Amplitude is always positive because it is a distance. Period--The number of degrees or radians we must graph before it begins to repeat.

Amplitude Amplitude Period

This number controls the period. Trig Functions Trig functions are written in the form of y = AsinBx or y = AcosBx y= 5 sin 2x This number controls the period. Amplitude

Graphing Sine and Cosine To find the period length —

To find the angles to use for graphing – Find the sum of the beginning and end angles and divide by two. Repeat step 2 with the beginning and middle angles. Do the same with the middle and end angles.

Quick graph of the Cosine function is Max-Zero-Min-Zero-Max Quick graph of the Sine function is Zero-Max-Zero-Min-Zero Quick graph of the Cosine function is Max-Zero-Min-Zero-Max Sketch a sine or cosine curve Based on the points graphed.

The amplitude is ? The period length is?. Example #1 y= 2sin4x Answer is 2. Remember, amplitude is always a positive number . The period length is?.

Graph y = 2sin4x

The amplitude is ? The period length is?. Example #2 y= -3cos2x Answer is 3. Remember, amplitude is always a positive number . The negative means the graph will be flipped when graphed – How does this happen? The period length is?.

Graph y = -3cos2x