At high speed, the equilibrium attitude of the rotor is tipped into the wind by an uncomfortable number of degrees. Since the rotor shaft tends to orient normal to the tip path plane, this means that the pilot and pax wind up hanging from their straps. Also, as pointed out above, the fuselage is draggy in this attitude. So, designers added a horizontal "stabilizer" which pushes the tail down into a more comfortable position for the pax and a less draggy state for the fellow who has to pay the fuel bill.
Fixed stabilizers may be found on a wide variety of light helos, not just the Bell 407/412. More sophisticated flying stabilizers are used on a variety of [mostly] military helicopters. In cruise, their function is the same as their fixed counterparts.