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

Aug 29, 2017

Amplitude = $\frac{1}{4}$
period = $\pi$
no phase shift

#### Explanation:

Consider the equation $y = a \sin \left(b x - c\right) + d$
the a value is the amplitude.
In your function, the a value is $\frac{1}{4}$ 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 $p e r i o d = \frac{2 \pi}{b}$
so $\frac{2 \pi}{2} = \pi$

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.