# What are the coordinates of the vertex of y = x^2-2x-7?

Oct 2, 2015

vertex: $\left(1 , - 8\right)$

#### Explanation:

Converting $y = {x}^{2} - 2 x - 7$
into vertex form: $y = m {\left(x - a\right)}^{2} + b$ (with vertex at $\left(a , b\right)$)

Complete the square
$y = {x}^{2} - 2 x \textcolor{red}{+ 1} - 7 \textcolor{red}{- 1}$

$y = {\left(x - 1\right)}^{2} + \left(- 8\right)$
with the vertex at $\left(1 , - 8\right)$