Graphing Sine/Cosine: Amplitude, Period, Phase Shift, and Vertical Shift
View the Lesson | MATHguide homepage Updated June 21st, 2023

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Problem:f(x) = -2 - 4 sin 1/3 (x + 14°). On a sheet of paper, graph the function in degrees.
  
Find:The function's amplitude, period, phase shift, vertical shift, and the four x-values that mark the location of its phase-shifted quartiles.

Responses:    amplitude =
   period =
   phase shift =
   vertical shift =
   quartile 1 =
   quartile 2 =
   quartile 3 =
   quartile 4 =