You're pretty close, but <---Phase Shift.
F(x) = -2sin(pi x - pi/2) +1 for [-2,-2]
Amplitude: |-2|=|2|= 2
Period: 2pi/B = 2pi/pi = 2
Phase Shift: C/B =(pi/2)(1/pi) = 1/2
I got this wrong in my Quiz and also i don't know how to draw graphs here in the forum. and i would like to see how this graph looks like please.