x²+(6a+2)x+3a+4
=x²+2(3a+1)x+3a+4
=(x+3a+1)²-(3a+1)²+3a+4
=(x+3a+1)²-9a²-3a+3なので頂点は(-3a-1,-9a²-3a+3)ですね
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