A Brooklyn day care center where a 6-year-old girl tumbled off the roof was slapped with several violations yesterday, Health Department officials said.

The child, Karizma Cox, who landed in the arms of a good Samaritan on a fire escape after Wednesday's close call, was recovering in Kings County Hospital yesterday, playing out of her bed.

After checking out of Flatbush's Initial Steps Child Development Center with her grandmother, Karizma had returned unnoticed to the third-floor rooftop playground, only to have the door lock behind her.

She made it to an adjoining roof and was trying to climb down when she fell to the fire escape, hit the railing and was caught by quick-thinking passerby Mohammed Azaze Balde two stories up.

After an investigation, the Health Department cited Initial Steps for a rooftop fence that was only 7 1/2 feet high, instead of the required 10 feet, and not angled inward to prevent children from climbing out.

A pole was missing protective padding, health officials said. The Health Department closed the playground until the violations are fixed.