Final answer:
A parks and recreation program to prevent delinquent behavior in children is categorized as a preventive service, focusing on providing positive alternatives to at-risk behaviors.
Step-by-step explanation:
A parks and recreation program aiming to keep children away from delinquent behavior falls under a preventive service. This type of service is designed to preemptively address issues that could lead to unwanted behaviors, such as delinquency, by providing positive alternatives. It is distinguished from rehabilitative services, which are intended to correct or improve behaviors after they have occurred, and also from supportive services, which typically assist individuals in coping with challenging situations. Preventive services like youth sports can foster community solidarity and personal development, thereby decreasing the chances of engaging in negative behaviors.