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| Question 281216:  How do I write x^2-16x+56=0 in vertex form? And, how do I identify the vertex?
 Answer by stanbon(75887)
      (Show Source): 
You can put this solution on YOUR website! How do I write x^2-16x+56 = y in vertex form? And, how do I identify the vertex? -----------------------------------
 x^2-16x + ? = y -56 + ?
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 x^2-16x + 64 = y-56+64
 (x-8)^2 = y+8
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 Vertex at (8,-8)
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 Another Method:
 y = x^2-16x+56
 a = 1 ; b = -16
 The vertex occurs where x = -b/2a = 16/-1 = 8
 f(8) = 8^2 -16*8 + 56 = -8
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 Notice the answers are the same.
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 Cheers,
 Stan H.
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