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Mathematics 13 Online
OpenStudy (anonymous):

find the vertex of the parabola by completeing the square x^2-6x+8=y

OpenStudy (anonymous):

first coordinate of the vertex is \(-\frac{b}{2a}=-\frac{-6}{2\times 1}=3\) so it will look like \[y=(x-3)^2+k\] to find \(k\) replace \(x\) by 3 in the expression \(x^2-6x+8\) and see what you get

OpenStudy (anonymous):

? i dont know how to get the answer

OpenStudy (anonymous):

notice i did not "complete the square" but you can do that too, it is just more annoying start with \[y=x^2-6x+9\] then think "half of 6 is 3, and \(3^2=9\) and write \[y=(x-3)^2+8-9=(x-3)^2-1\]

OpenStudy (anonymous):

you get the \(-1\) the first method by computing \[3^2-6\times 3+8\]

OpenStudy (anonymous):

b2=4ac y=82/4(x2-6x

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