(1, -7)
Explanations:
If a parabola is of the form:
[tex]y\text{ = a(x - h)}^2+k[/tex]The vertex of the parabola is (h, k)
The given equation is:
[tex]y=x^2-2x-6[/tex]The given equation can be written in the form y = a(x-h)²+k
[tex]\begin{gathered} y=x^2-2x-6 \\ y=(x-1)^2-7 \end{gathered}[/tex][tex]\begin{gathered} \text{Comparing y = (x-1)}^2-7withy=a(x-h)^2+k \\ h\text{ = 1, k = -7} \end{gathered}[/tex]The coordinates of the vertex are (1, -7)
