SOLUTION: Write the given expression F(x)=1/3x^2+x+1 in the form F(x)=a(x-h)^2+k.. and find the vertex

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Question 335358: Write the given expression F(x)=1/3x^2+x+1 in the form F(x)=a(x-h)^2+k.. and find the vertex
Answer by Fombitz(13828) About Me  (Show Source):
You can put this solution on YOUR website!
Complete the square,
F%28x%29=%281%2F3%29x%5E2%2Bx%2B1
F%28x%29=%281%2F3%29%28x%5E2%2B3x%29%2B1
F%28x%29=%281%2F3%29%28x%5E2%2B3x%2B9%2F4%29%2B1-%281%2F3%29%289%2F4%29
F%28x%29=%281%2F3%29%28x%2B3%2F2%29%5E2%2B4%2F4-3%2F4
F%28x%29=%281%2F3%29%28x%2B3%2F2%29%5E2%2B1%2F4
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