# How do you graph y=6 abs[x-7]?

Nov 6, 2017

see explanation

#### Explanation:

First do the normal graph of $y = 6 x - 7$ without the modulus.

graph{6x-7 [-10, 10, -5, 5]}

Since the modulus is only applied to the $x$, think of it as a function.
It is inside the bracket so you shift first the graph to the right by 7.
Then take the absolute value.
Click link to see the graph of $y = 6 \left\mid x - 7 \right\mid$

https://www.desmos.com/calculator/7f8l7s12g4