3.25: Complete the square and minimum point

0606/21/M/J/21 — Question 1 · 3 marks

(a)
Write x26x+1x^{2} - 6x + 1 in the form (x+a)2+b(x + a)^{2} + b, where aa and bb are constants.
[2]
(b)
Hence write down the coordinates of the minimum point on the curve y=x26x+1y = x^{2} - 6x + 1.
[1]