Sullivan Precalculus: Section 5.6 Phase Shift; Sinusoidal Curve Fitting

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Sullivan Precalculus Section 5.6Phase Shift
Sinusoidal Curve Fitting

• Objectives of this Section
• Determine the Phase Shift of a Sinusoidal
  Function
• Graph Sinusoidal Functions y sin(wx - c)
• Find a Sinusoidal Function from Data

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The data on the following slide represent the
average monthly temperature in Houston, Texas.
(a) Draw a scatter diagram of the data treating
month as the independent variable.
(b) Find a sinusoidal function that fits the data.
(c) Graph the function found in (b) on your
scatter diagram.
(d) Find the sinusoidal function of best fit.
(e) Graph the function found in (d) on the
scatter diagram.
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Month
Average Temp (oF)
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Temperature
Month
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We will find a sinusoidal function of the form
STEP 1 Determine the amplitude, A.
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STEP 2 Determine the vertical shift, B.
Vertical Shift
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STEP 3
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STEP 4 Determine the horizontal shift.
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