SOLUTION: If x^2 - 5x + 6 = (x - h)^2 + k, what is the value of k? (A) - 25/4 (B) -5/2 (C) -1/4 (D) 0 (E) 6

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: If x^2 - 5x + 6 = (x - h)^2 + k, what is the value of k? (A) - 25/4 (B) -5/2 (C) -1/4 (D) 0 (E) 6       Log On


   

Question 329830: If x^2 - 5x + 6 = (x - h)^2 + k, what is the value of k?
(A) - 25/4 (B) -5/2 (C) -1/4 (D) 0 (E) 6
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
If x^2 - 5x + 6 = (x - h)^2 + k, what is the value of k?
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x^2-5x+6 = x^2-2hx+h^2+k
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Equate the coefficients:
-2h = -5
h^2+k = 6
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h = 5/2
Substitute and solve for "k":
(5/2)^2+k = 6
k = 6-(25/4)
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k = -1/4
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Cheers,
Stan H.
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(A) - 25/4 (B) -5/2 (C) -1/4 (D) 0 (E) 6