SOLUTION: find the coordinates of the vertex for the parabola f(x) = 3x squared -2x

Algebra ->  Linear-equations -> SOLUTION: find the coordinates of the vertex for the parabola f(x) = 3x squared -2x      Log On


   



Question 326980: find the coordinates of the vertex for the parabola f(x) = 3x squared -2x
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Complete the square to put into vertex form, y=a%28x-h%29%5E2%2Bk, where (h,k) is the vertex.
f%28x%29=3x%5E2-2x
f%28x%29=3%28x%5E2-%282%2F3%29x%29
f%28x%29=3%28x%5E2-%282%2F3%29x%2B%281%2F9%29%29-3%2F9
f%28x%29=3%28x-1%2F3%29%5E2-1%2F3
The vertex is (1/3,-1/3).
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