Central Los Angeles and the south San Fernando Valley are absorbing a lot of the new development from the 500,000-unit plan.

For a couple and their toddler, moving from a noisy street in Hollywood to a tranquil home in the San Fernando Valley meant adding extra income — even if they had to build a house in the backyard.

The California state legislature passed a bevy of blockbuster housing bills last year. Some took aim at the state’s landmark environmental law, which critics argued blocked development for years.