y=a sin bx
A= amplitude = the height from the center line to the peak (or to the trough)
Period = 2Pi/ b= distance from one peak to the next (or from any point to the next matching point).
Frequency is how often something happens per unit of time (per "1").
Horizontal Shifts:
y= sin(x-2Pi)
move graph 2 Pi units to the right
Vertical Shifts
y=sinx-3
move graph 3 units down