Answer
The Amplitude is $ 2$
The Period is $\frac{2\pi}{3} $
The Horizontal shift is $1 $ 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 $y = 2 \sin 3 (x + 1) + 3$
The Amplitude is $|2| = 2$
The Period is $\frac{2\pi}{|3|} =\frac{2\pi}{3} $
The Horizontal shift is $1 $ unit to the left
See graph below.