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5.6.1 phase shift, period change, sine and cosine graphs

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This document provides instructions for identifying the amplitude, period, and phase shift of a function by factoring out the angular frequency (ω), finding the period as 2π/ω, and determining any phase shift. It also describes how to write the equation of a sine function using the given amplitude, period, and phase shift.

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5.6 Phase Shift
Find the amplitude, period, and phase shift of the function. Graph one period.Factor out ωIdentify the amplitudeFind the period 2π/ωIdentify the phase shift
5.6.1 phase shift, period change, sine and cosine graphs
Find the amplitude, period, and phase shift of the function. Graph one period.Factor out ωIdentify the amplitudeFind the period 2π/ωIdentify the phase shift
5.6.1 phase shift, period change, sine and cosine graphs
5.6.1 phase shift, period change, sine and cosine graphs
Odd function
Use the given information to write the equation of a sine function that has the given characteristics.
Use the given information to write the equation of a sine function that has the given characteristics.
p. 434 # 3, 6, 8, 9, 12, 14 – 18Assignment

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5.6.1 phase shift, period change, sine and cosine graphs

  • 2. Find the amplitude, period, and phase shift of the function. Graph one period.Factor out ωIdentify the amplitudeFind the period 2π/ωIdentify the phase shift
  • 4. Find the amplitude, period, and phase shift of the function. Graph one period.Factor out ωIdentify the amplitudeFind the period 2π/ωIdentify the phase shift
  • 8. Use the given information to write the equation of a sine function that has the given characteristics.
  • 9. Use the given information to write the equation of a sine function that has the given characteristics.
  • 10. p. 434 # 3, 6, 8, 9, 12, 14 – 18Assignment