Question

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

Answer 1

(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 \\`