CK-12-Pre-Calculus Concepts

(Marvins-Underground-K-12) #1

5.6. Phase Shift of Sinusoidal Functions http://www.ck12.org


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The temperature over a certain 24 hour period can be modeled with a sinusoidal function. At 3:00, the temperature
for the period reaches a low of 22◦F. At 15:00, the temperature for the period reaches a high of 40◦F.



  1. Find an equation that predicts the temperature based on the time in minutes. Chooset=0 to be midnight.

  2. Use the equation from #12 to predict the temperature at 4:00 PM.

  3. Use the equation from #12 to predict the temperature at 8:00 AM.

  4. Use the equation from #12 to predict the time(s) it will be 32◦F.

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