The phase of the moon that is pictured is the waning gibbous. This phase of the moon appears two to three days after a full moon. The waning gibbous is visible in the early morning hours. The waning of the moon actually means "shrinking" of the moon. The waning phase repeats every 29 days, which is a synodic month. The waning gibbous is directly between the new moon phase and the first quarter phase. The waning gibbous is the direct opposite of the waxing gibbous. It has been said that when the moon is in this phase that the moon represents the Goddess in her Crone Aspect. The period of waning lasts for 14 days. 

http://earthsky.org/moon-phases/waning-gibbous