You are on the wrong track, myeung. There is no mysterious list of verbs that can be followed by question words such as why, where, when etc. It's just that no matter what the price is is a fixed phrase that just happens to begin with no instead of a question word and is needed at the beginning of the second clause in the sentence.
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myeung that might explain why he is unhappy.They can all end with a verb. The question is, do we wish to add something more after the verb.
you should buy it no matter what price is .