Question

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

Answer 1

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!