Table of contents

4. Graphing Trigonometric Functions

Graphs of the Sine and Cosine Functions

4. Graphing Trigonometric Functions

Graphs of the Sine and Cosine Functions: Study with Video Lessons, Practice Problems & Examples

62PRACTICE PROBLEM

Determine the amplitude, period, phase shift, and vertical translation of the given trigonometric function.
$y = 6 \cos (\frac{π}{3} (x - \frac{1}{5}))$

ANSWERS OPTIONS

Amplitude = 6, period = 6, phase shift: $\frac15$ unit to the left, vertical translation: none

Amplitude = 6, period = 6, phase shift: $\frac15$ unit to the right, vertical translation: none

Amplitude = 3, period = $\frac23$ , phase shift: 5 units to the left, vertical translation: 3 units up

Amplitude = 3, period = $\frac32$ , phase shift: 5 units to the right, vertical translation: 3 units up