# What is the period and amplitude for y = -2 sin (4/3x)?

$y = - 2 \sin \left(\frac{4 x}{3}\right)$
Period: $T = \frac{2 \pi}{K} = \frac{2 \pi}{\frac{4}{3}} = \frac{6 \pi}{4} = \frac{3 \pi}{2}$