Question 320107
Complete the square to put the equation in vertex form, {{{y=a(x-h)^2+k}}}, where (h,k) is the vertex.
{{{ f(x)=x^2 -6x + 1}}}
{{{f(x)=(x^2-6x+9)+1-9}}}
{{{f(x)=(x-3)^2-8}}}
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Comparing,
(h,k)=(3,-8)
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{{{ drawing( 300, 300, -3, 9, -15, 5, grid(1),circle(3,-8,.3),graph( 300, 300, -3, 9, -15, 5,x^2 -6x + 1)) }}}