# How do you graph y = |x-3|?

Apr 2, 2017

See explanation

#### Explanation:

The two vertical lines signify something called the 'absolute value'.

This is a process that make whatever the answer inside the two lines it is considered as being positive.

So suppose $x - 3$ was such that $x - 3 = - 63$

The $| x - 3 | = + 63$

The consequence is that you get a general shape of a graph that is like a V.

The bottom point of the V (the pointed end) is where

$x - 3 = 0 \implies x = 3$

${y}_{\text{intercept}} \to x = 0$

${y}_{\text{intercept}} = | 0 - 3 | = + 3$