句意：摩根想要向她的父亲演示她可以照顾一匹马。本题考查的是固定搭配。take care of是固定搭配，意为“照顾，照料”，故选B。

【知识拓展】take care(1)当心，注意
例：Take care if you’re planning to go out tonight.如果你今晚打算外出，当心点。
(2)确保做某事
例：He would take care to provide himself with a good job.他会确保自己得到一份好工作。
take care of(1)照顾，照料
例：I can take care of myself.我可以照顾好自己。
(2)处理
例：He has the equipment to take care of my problem.他有一台可解决我的问题的设备。