Question

How do you determine the amplitude, period, and shifts to graph `y = Sin (300t)`?

Answer 1

`A=|1|=1`
`T=(2pi)/300=pi/150`
`"horizontal shift"=0`
`"vertical shift"=0`

(`A` is amplitude, `T` is period)

Explanation:

Sinusoidal functions can be written as

`y=asin(c(x-d))+b`

where
`|a|` is the amplitude (`A`)
`b` is the vertical shift
`(2pi)/c` is the period (`T`)
`d` is the horizontal shift.

In this case:
`A=|1|=1`
`T=(2pi)/300=pi/150`
`"horizontal shift"=0`
`"vertical shift"=0`