Answer
The Amplitude is $ 1$
The Period is $\frac{2\pi}{3} $
The Horizontal shift is $\frac{pi}{3} $ unit to the left
See graph below.
Work Step by Step
For $y=a\sin c(x−h) + k$ $y =a \cos c(x−h) + k$,
Amplitude: $|a|$, Period: $\frac{2\pi} {|c|}$,
Horizontal Shift: h
The question asks for a graph, amplitude, period, and horizontal shift of the function.
Given $y = \sin (3x + \pi) $
$y = \sin 3(x + \frac{\pi}{3}) $
The Amplitude is $|1| = 1$
The Period is $\frac{2\pi}{|3|} =\frac{2\pi}{3} $
The Horizontal shift is $\frac{pi}{3} $ unit to the left
See graph below.