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Section 5.3 Amplitude , Period and Phaseshift

Shifted sine and cosine curves. and
  • The amplitude is the maximum distance from the midline (horizontal axis) to the peak or trough of the wave.
     Amplitude =
  • The period is the length of one full cycle of the wave (how long it takes to repeat).
    Period=
  • The phase shift is the horizontal shift of the graph (left or right), based on the expression inside the function.
    Phase shift = b In the GeoGebra applet Input values for a , b and c and observe the amplitude , phase shift and period

Q1

Find the amplitude, phase shift and period for the function

Q2

Find the amplitude , period and phase shift of