Question

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

Answer 1

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

Explanation:

`y=cos3x`

• AMPLITUDE: `1`
• PERIOD: `(2pi)/3`
• 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|`
  `b` is the coefficient of `x`
  graph{y=cos(3x) [-10, 10, -5, 5]}