Watch the Sinusoidal Functions Part 1 video to see more examples of determining the characteristics of a sinusoidal function from its graph.

The following summarizes the key characteristics of the graph of a sinusoidal function.

  

The period is most easily found by determining the horizontal distance between consecutive maximum values, consecutive minimum values, or consecutive midpoints.

  

The equation of the midline (sinusoidal axis) is the average of the maximum and minimum values:

  

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.