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Question 53314:  find the vertex of:  f(x)=3x^2-6x+8 
 Answer by stanbon(75887)      (Show Source): 
You can  put this solution on YOUR website! find the vertex of:  f(x)=3x^2-6x+8 
Rewrite as:  
3x^2-6x+? = y-8 
Rewrite as: 
3(x^2-2x+?=y-8 
Rewrite as : 
(x^2-2x+? =(1/3)(y-8) 
Complete the square: 
x^2-2x+1 = (1/3)(y-8)+1 
(x-1)^2=(1/3)(y-8+3) 
(x-1)^2=(1/3)(y-5) 
Vertex is at (1,5) 
Cheers, 
Stan H. 
 
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