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Watch the Sinusoidal Functions Part 1 video to see more examples of determining the characteristics of a sinusoidal function from its graph.
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The following summarizes the key characteristics of the graph of a sinusoidal function.
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The period is most easily found by determining the horizontal distance between consecutive maximum values, consecutive minimum values, or consecutive midpoints.
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The equation of the midline (sinusoidal axis) is the average of the maximum and minimum values:
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The amplitude is the positive vertical distance between the midline and either a maximum or minimum value.
It is also half the vertical distance between a maximum value and a minimum value.
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