Hello. I need help graphing y = 4 sin (-2x). Also what is the amplitude, period and phase shift. Thank you!
If you have a sinusoid in the form of $\displaystyle f(x) = a\:\sin [b(x - h)] + k$ , then the amplitude is $\displaystyle |a|$, the period is $\displaystyle \frac{2\pi}{|b|}$ , and the phase shift is $\displaystyle h$ . ($\displaystyle k$ represents the vertical translation.)
So in your problem the amplitude is 4, the period is π, and the phase shift is 0. In addition, since there is a negative sign in front of the 2, there is a reflection on the x-axis.
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