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Ch.6 Section 5

Ch.6 Section 5. Translations of Sine and Cosine Functions. Phase Shift. A phase shift is simply a horizontal change. The phase shift of the function y = A cos k (  + C ) is C. If C > 0, the shift is to the left. If C < 0, the shift is to the right. Example.

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Ch.6 Section 5

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  1. Ch.6 Section 5 Translations of Sine and Cosine Functions

  2. Phase Shift A phase shift is simply a horizontal change. The phase shift of the function y = A cosk( + C) is C. If C > 0, the shift is to the left. If C < 0, the shift is to the right.

  3. Example State the phase shift of the following function. Then sketch the function and y = cos on the same coordinate plane.

  4. Fine the phase shift of…

  5. Vertical Shift A vertical shift is simply a vertical change. The vertical shift of the function y = Asink + C is C. If C > 0, the shift is up. If C < 0, the shift is down.

  6. Example State the vertical shift of the following function. Then sketch the function and y = cos on the same coordinate plane.

  7. State the amplitude, period, phase shift, and vertical shift for

  8. Write an equation of a sine function with amplitude of 4, period π, phase shift –π/8, vertical shift 6. • 1, 2, 3 go!

  9. Graphing Compound Functions • You need to make a table of values to find the pattern. • Graph y = x + cos(x)

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