# How do you determine the amplitude, period, and shifts to graph f(x)=2 sin 4x?

amplitude = 2 and period $= \frac{\pi}{2}$, no shift
where amplitude = |a| , period$= \frac{2 \pi}{b}$ , c is shift and d is a translation.
here |a| = 2 , period = $\frac{2 \pi}{4} = \frac{\pi}{2}$ and c = 0 , d = 0