SAN ANTONIO — One day after a bystander’s cellphone video was released that appeared to show sheriff’s deputies fatally shooting a Hispanic man who had his hands raised in surrender, officials here voted Tuesday to finance additional body cameras for deputies in the field, as federal authorities said they had opened an investigation into whether the man’s civil rights had been violated.

The action by commissioners of Bexar County, which includes San Antonio, will eventually put cameras on all uniformed officers on the street, part of a program that has been underway for more than a year. The two deputies involved in the shooting on Friday were not wearing body cameras. Only about eight deputies have them, all motorcycle officers, officials said. The commissioners approved nearly $1 million for hundreds of body and dashboard cameras for the department.

Before the vote, it was clear that the shooting and the video were on the minds of the County Commissioners Court. One commissioner, Tommy Calvert, questioned a sheriff’s official about the department’s use-of-force policy and training. Nelson W. Wolff, the county’s top elected official, asked sheriff’s officials to prepare a presentation comparing their policies with those of other law enforcement agencies.