The house finch nestlings are 6 days old today. They typically fledge the nest at 14 days old, which will be on May 29th.
This picture is of the female finch taking a nap with her kids this morning.
Both parents have been diligently feeding all 5 hungry birds. In the video below you can see the male feeding the nestlings by regurgitating seeds, flower buds, and the occasional insect.