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thnx

## Homework Statement

The equation of a curve is [tex]y=f(x)[/tex], where [tex]f(x) = x^2 - 6x + 14[/tex].

Find the coordinates of the minimum point , [tex]M[/tex], of the curve

## Homework Equations

## The Attempt at a Solution

I completed the square to get

[tex]y=(x-3)^2 + 5[/tex]

then i used my knowledge of transformation of function to work out the answer is [tex](3,5)[/tex]

however, I am not sure i did it right, I am pretty sure the y-coordinate is right, but the x-coordinate may be wrong...

can you help?