How do you find the amplitude, period, phase shift for y=cos3xy=cos3x?

1 Answer
Jun 20, 2017

graph{y=cos(3x) [-10, 10, -5, 5]}

Explanation:

y=cos3xy=cos3x

  • AMPLITUDE: 11
  • PERIOD: (2pi)/32π3
  • HORIZONTAL SHIFTS: none
  • VERTICAL SHIFTS: none
  • TYPE: cosine graph

Guide

  • AMPLITUDE = distance from middle of graph (y=0) to highest and lowest points on graph
  • PERIOD = interval in which the graph repeats itself
    period formula for cosine: (2pi)/|b|2π|b|
    bb is the coefficient of xx
    graph{y=cos(3x) [-10, 10, -5, 5]}