Answer
$Period = \frac{2\pi}{6} = \frac{\pi}{3}$
$Horizontal\ shift = –\frac{–\pi}{6} = \frac{\pi}{6}$
$Phase = –\pi$
Work Step by Step
If C is any real number and $B> 0$, then the graphs of $y = \sin(Bx+C)$ and $y = \cos (Bx+C)$ will have
$Period = \frac{2\pi}{B}$
$Horizontal\ shift = –\frac{C}{B}$
$Phase = C$
so for $y = \sin (6x – \pi)$
$Period = \frac{2\pi}{6} = \frac{\pi}{3}$
$Horizontal\ shift = –\frac{–\pi}{6} = \frac{\pi}{6}$
$Phase = –\pi$