What is the equation of sinusoidal function with the amplitude 3 and period pi/4?

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Answer 1 · 2018-05-01T03:40:00

#y=3sin(8x)#

The parent function is #sinx# so this is where we start.

#y=sinx#

The amplitude of this sine wave is 1. To make the amplitude 3, we multiply the sine by 3.

#y=3sinx#

The period of this sine wave is 2#pi#. We want the period to be #2pi/8# so we need to multiply #x# by 8.

#y=3sin(8x)#

This satisfies the requirements of the problem statement.

graph{3sin(8x) [-1, 1, -5, 5]}