Answer
Fill the blanks with
$|a|\ \ $ , $ \displaystyle \frac{2\pi}{k} ,$
$ 3,\ \ \ \pi$
Work Step by Step
See:
Graphs of Transformations of Sine and Cosine (p. 424)
For
$y=a\sin k(x-b) (k>0),$
$ y=a\cos k(x-b) (k>0)$
Amplitude$: |a|$,
Period$: \displaystyle \frac{2\pi}{k}$,
Horizontal shift$: b.$
----------------------
For $y=a\sin kx, (k>0),\qquad y=a\cos kx, (k>0)$
the horizontal shift, b=0.
For $y=3\sin 2x,\qquad $a=3, k=2, so
Amplitude$: 3$,
Period$: \displaystyle \frac{2\pi}{k}=\frac{2\pi}{2}=\pi$
Fill the blanks with
$|a|\ \ $ , $ \displaystyle \frac{2\pi}{k} ,$
$ 3,\ \ \ \pi$
