Abstract: A motor vehicle headlight comprises a light source mounted in a reflector and a glass. The reflector is mounted to pivot about a generally vertical axis, and displacement means are provided to vary the angular position of the reflector. According to the invention, the reflector is capable of occupying at least one first angular position in which the beam emitted thereby passes through a first glass to generate a first type of beam, and a second angular position which is fixed and different form the first angular position(s), and in which the beam passes through a second glass; the headlight also has optical means for generating through said second glass a fixed beam which has photometric characteristics different from those of the beam passing through the first glass. Application in particular to two-function headlights for providing both a cornering light beam and a fog light beam.