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Simora [160]
3 years ago
5

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

Mathematics
1 answer:
sveta [45]3 years ago
5 0

Answer:

(3,-1)

Step-by-step 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 =  \frac{ - b}{2a}  =   \frac{  - (- 6)}{2  \times 1}  =  \frac{6}{2 }  = 3 \\ substitute \: x = 3 \: in \: the \: original \: equation \\ solve \:for \:y  \\ y = 3 ^{2}  + (- 6 \times 3) + 8 \\ y =  - 1 \\

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<h3>How to determine the equation of the function?</h3>

The complete question is added as an attachment

From the table of values, we have the following points

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