What is the amplitude and period of #y = sin(3x)#?

1 Answer
Nov 6, 2016

Amplitude: 1
Period: #(2pi)/3#

Explanation:

To determine these features, we need to know what each of the parameters in the functions #y = asinb(x - c) + d# and #y = acosb(x - c) + d# mean.

#|a|# is the amplitude
•The period is given by #(2pi)/b#
•The horizontal transformation is given by #x =c#. For example, if #c= 2#, then the graph has been moved two units right.
•The vertical translation is #y = d#

Using this information to answer the problem above, the function can be written in the form of

#y = 1sin(3(x)) + 0#

So, the amplitude is #1# and the period is #(2pi)/3#. There is no horizontal translation or vertical translation.

Hopefully this helps!