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Find the vertex of f(x)=x2 -6x +8 .

User John In MD
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1 Answer

3 votes

Answer:

(3,-1)

Explanation:


f(x) = x {}^(2) - 6x + 8 \\ y = {x}^(2) - 6x + 8 \\ equation \: is \: in \: the \: form \: of \: ax {}^(2) + bx + c \\ a = 1 \\ b = - 6 \\ c = 8 \\ solve \: for \: x \\ x = ( - b)/(2a) = ( - (- 6))/(2 * 1) = (6)/(2 ) = 3 \\ substitute \: x = 3 \: in \: the \: original \: equation \\ solve \:for \:y \\ y = 3 ^(2) + (- 6 * 3) + 8 \\ y = - 1 \\

User The Real Napster
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