# How do you graph y = 1 + |x-1|?

Apr 5, 2016

See explanation

#### Explanation:

The two vertical lines mean that for this equation the content is always positive and is of generic shape $\vee$

You produce a table setting x against y.

Technically you only need 3 points and these are

The lowest value the equation can achieve and any other two pints so that you can form the V shape

Table to demonstrate what happens to the numbers:

Apr 5, 2016

At (1, 1) make a right angle by drawing the straight lines y = x, x > 1 and y =2-x, x < 1..

#### Explanation:

$| x - 1 | = x - 1 , x > 1. S o , y = x , x > 1$.

$| x - 1 | = - \left(x - 1\right) , x < 1. S o , y = 2 - x , x < 1$

The lines are half lines above the common point (1, 1 )..