At first, the narrator feels a(n) motivation to become a prodigy to earn her parent's
extrinsic . . approval
intrinsic . . affection
direct . . approval
indirect . . affection

The answer to your question would be direct and approval. You can rule out all the options that have affection and focus on the ones that have approval. You have to choose between extrinsic and direct. Ask yourself, which one makes more sense? Plug in the words to see if any make sense and find the answer. Hope this helps!