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

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Graphing Terminology AmplitudeThe 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.

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Amplitude Period

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

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Graphing Sine and Cosine 1.To find the period length

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2.To find the angles to use for graphing – a.Find the sum of the beginning and end angles and divide by two. 3.Repeat step 2 with the beginning and middle angles. Do the same with the middle and end angles.

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4.Quick graph of the Sine function is Zero- Max-Zero-Min-Zero Quick graph of the Cosine function is Max-Zero-Min-Zero-Max 5.Sketch a sine or cosine curve Based on the points graphed.

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

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Graph y = 2sin4x

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Example #2 y= -3cos2x 1.The amplitude is ? 2. The period length is?. Answer is 3. Remember, amplitude is always a positive number. The negative means the graph will be flipped when graphed – How does this happen?

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Graph y = -3cos2x

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