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Graph the functions for one period. In each case, specify the amplitude, period, $x$ -intercepts, and interval(s) on which the function is increasing.

(a) $y=2 \sin x$

(b) $y=-\sin 2 x$

(a.) amplitude $=2,$ period $=2 \pi$

$x$ -intercepts $=0, \pi, 2 \pi$

$\mathrm{x}$ increases in $(0, \pi / 2),$ and $(3 \pi / 2,2 \pi)$

(b.) amplitude $=1,$ period $=2 \pi$

$\mathrm{x}$ -intercepts $=0, \pi, 2 \pi$

$x$ increases in $(\pi / 2,3 \pi / 2)$

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