Final answer:
The parenting style where parents shape a child's behavior with strict rules and high expectations, but little warmth, is known as the Authoritarian style.
Step-by-step explanation:
Brian's parents' approach to parenting, where they try to shape the child's behavior according to their own standards of conduct with an emphasis on conformity and obedience, is consistent with the Authoritarian parenting style. This type of parenting is characterized by strict rules, high expectations, and little warmth or nurturing. While this style can result in some positive academic outcomes in certain cultural contexts, it can also lead to emotional issues such as increased anxiety and withdrawal in children. In contrast, the Authoritative parenting style is more balanced, offering reasonable demands and consistent limits with warmth and affection, and is often associated with the most beneficial outcomes for a child's development.