Answer
vertex: $( 1,-324)$
Work Step by Step
Consider the equation: $y=x^2-2x-323$ ...(1)
The standard equation of the parabola is: $y=a(x-h)^2+k$ with vertex$(h,k)$
Consider right side $x^2-2x=323$
To complete the square add $(\frac{b}{2})^2=(\frac{-2}{2})^2=1$.
$x^2-2x+1=323+1$
$(x-1)^2=324$
Thus, equation becomes:
$y=(x-1)^2-324$
Compare it with the standard form of the parabola, we get
vertex: $( 1,-324)$