SOLUTION: Can I have help finding the vortex, line of symmetry, maximum/minimum and if the graph opens up or down for the quadratic equation: f(x)= 3x^2-6x+6

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Question 317553: Can I have help finding the vortex, line of symmetry, maximum/minimum and if the graph opens up or down for the quadratic equation:
f(x)= 3x^2-6x+6
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Convert to vertex form, y=a%28x-h%29%5E2%2Bk by completing ths square.
(h,k) is then the vertex.
f%28x%29=3%28x%5E2-2x%29%2B6
f%28x%29=3%28x%5E2-2x%2B1%29%2B6-3
f%28x%29=3%28x-1%29%5E2%2B3
The vertex is (1,3).
The axis of symmetry contains the vertex and is x=1.
The coefficient of x%5E2 term is positive so the parabola opens upwards and the vertex value is the minimum value.
fmin=3
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