Question

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

Answer 1

Refer Answer section.

Explanation:

Rewrite the equation as
`y =x^2+6x-5`

First find the vertex -
`x=(-b)/(2a)=(-6)/(2 xx 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