Question

How do you graph and list the amplitude, period, phase shift for `y=1/4sin2x`?

Answer 1

Amplitude = `1/4`
period = `pi`
no phase shift

Explanation:

Consider the equation `y= asin(bx-c)+d`
the a value is the amplitude.
In your function, the a value is `1/4` so that is the amplitude

the next value is the b value. To find the period from the b value you would use the equation `period = (2pi)/b`
so `(2pi)/2 = pi`

the next value is c or the horizontal translation (aka phase shift)
the c value is just 0 so there is no phase shift.

Also the d value is vertical translation in case that is useful.