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

1 Answer
Jun 26, 2018

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