Answer
The Amplitude is $1$
The Period is $4\pi$
The Horizontal shift is $\frac {\pi}{4}$ units 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 $y = \sin 0.5(x + \frac{\pi}{4})$
The Amplitude is $|1| = 1$
The Period is $\frac{2\pi}{|0.5|} = 4\pi$
The Horizontal shift is $\frac {\pi}{4}$ units to the left
See graph below.