# How do you graph y=x^2 - 2x - 1 ?

Mar 16, 2018

$y = {\left(x - 1\right)}^{2} - 2$
(Graph below)

#### Explanation:

$y = {x}^{2} - 2 x - 1$
Since this does not factor, you can put this into a more graph-friendly equation by completing the square.
$y = {x}^{2} - 2 x - 1$
$y = \left({x}^{2} - 2 x + 1\right) - 1 - 1$
$y = {\left(x - 1\right)}^{2} - 2$
The graph of this is a parabola with a vertex at $\left(1 , - 2\right)$ and a "slope" of 1. graph{(x-1)^2-2 [-10, 10, -5, 5]}