SOLUTION: How do I determine the vertex of the function: g(x)=3x^2-5x+7 please

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Question 834682: How do I determine the vertex of the function: g(x)=3x^2-5x+7 please
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Complete the square and get the equation in vertex form, y=a%28x-h%29%5E2%2Bk where (h,k) is the vertex.
3x%5E2-5x%2B7=3%28x%5E2-%285%2F3%29x%2B25%2F36%29%2B7-3%2825%2F36%29
3x%5E2-5x%2B7=3%28x-5%2F6%29%5E2%2B252%2F36-75%2F36
3x%5E2-5x%2B7=3%28x-5%2F6%29%5E2%2B177%2F36
3x%5E2-5x%2B7=3%28x-5%2F6%29%5E2%2B59%2F12
(5/6,59/12)
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