# How do you graph x^2+6x=5?

Sep 18, 2015

#### Explanation:

Rewrite the equation as
$y = {x}^{2} + 6 x - 5$

First find the vertex -
$x = \frac{- b}{2 a} = \frac{- 6}{2 \times 1} = - 3$

Take a few points on either side of $- 3$. For the values of $x$ find $y$ values. Pair them. Plot them. Join all the pints with the help of a smooth curve.

x: y
-6: -5
-5: -10
-4: -13
-3: -14
-2: -13
-1: -10
graph{x^2+6x-5 [-32.47, 32.48, -16.24, 16.27]} -5