A vascular graft includes a main portion and a branch portion that is coupled to the main portion by an articulating joint. The vascular graft may be inserted into the thoracic aorta with the branch portion positioned within a branch vessel and the main portion positioned within the thoracic aorta. The graft may be deployed within a deployment apparatus comprising an outer member and an inner member and a pusher. The main graft portion may be housed within the inner member while the branch graft portion is housed within the space between the inner and outer members. The inner member may have a longitudinal groove for allowing the articulating joint to pass by when the branch graft portion is deployed.