the table of values is wrong check your calculations again for the first and other values for the first: x^2-2x-1 (2)^2-2(2)-1=4-4-1=-1

might wanna complete the square to get the vertex:

x^2-2x-1

(x^2-2x)-1

(x^2-2x-1+1)-1

(x^2-2x)-1-1

(x-1)^2-2

your vertex will be (1,-2)