we know that
To find the equation in vertex form, we need to factor the function
so
\(f(x) = x^{2} - 2x - 6\)
Complete the square. Remember to balance the equation
\(f(x) = x^{2} - 2x +1-1- 6\)
\(f(x) = x^{2} - 2x +1-7\)
Rewrite as perfect squares
\(f(x) = (x-1)^{2} -7\)
in this problem
the vertex is the point \((1,-7)\)
therefore
the answer is
The function written in vertex form is equal to \(f(x) = (x-1)^{2} -7\)
