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

2 Answers
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 vv

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:
Tony BTony B

Tony BTony B

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. So, y = x, x > 1.

|x-1|=-(x-1), x < 1. So, y = 2-x, x < 1

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