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

1 Answer
hereyougo
Aug 29, 2017

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.

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