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3.2 General Sinusoids

3.2 General Sinusoids. Lesson Objective: Iwbat graph sinusoids and explain their transformations. Guiding Question: How can we manipulate sinusoids?. Recall the following A = Amplitude (vertical translation B = Period (how long for one cycle) C = Phase displacement (horizontal shift)

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3.2 General Sinusoids

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  1. 3.2 General Sinusoids Lesson Objective: Iwbat graph sinusoids and explain their transformations.

  2. Guiding Question: How can we manipulate sinusoids? • Recall the following A = Amplitude (vertical translation B = Period (how long for one cycle) C = Phase displacement (horizontal shift) D = Vertical displacement (vertical shift)

  3. GQ: How can we manipulate sinusoids? • Sinusoids are concave throughout their graph • Concave down when they open down, concave up when they open up • Inflection points are where the graph changes concavity

  4. GQ: How can we manipulate sinusoids? • Sketch a sinusoid with the following transformations • Amplitude of 7 • Period of • Phase displacement of with respect to cosine • Sinusoidal axis at negative 5 • Sketch the graph and then decipher what the function would look like.

  5. GQ: How can we manipulate sinusoids? • A = -5 • B = 4 • C = 45 degrees • D = +6 What would a negative amplitude imply? What would that look like? What would the function look like?

  6. GQ: How can we manipulate sinusoids? • Assignment: Worksheet

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