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

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Answer 1 · 2016-04-05T14:56:15

See 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 B

Tony B

Answer 2 · 2016-04-05T15:09:29

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

#|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 )..