SOLUTION: how do I find the vertex in fraction form for the following problem: f(x)=-3x^2+2x=5

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Question 352169: how do I find the vertex in fraction form for the following problem:
f(x)=-3x^2+2x=5
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Complete the square,
f%28x%29=-3x%5E2%2B2x%2B5
f%28x%29=-3%28x%5E2-%282%2F3%29x%29%2B5
f%28x%29=-3%28x%5E2-%282%2F3%29x%2B1%2F9%29%2B5%2B3%2F9
f%28x%29=-3%28x-1%2F3%29%5E2%2B15%2F3%2B1%2F3
f%28x%29=-3%28x-1%2F3%29%5E2%2B16%2F3
Now the equation is in vertex form,
(h,k)=(1%2F3,16%2F3)