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