How do you graph #y = abs(x - 2)#?

1 Answer

Draw the half lines in the first two quadrants given by the equations #x+-y=2#, emanating from the common point (2, 0).

Explanation:

#y=|x-2|# is the combined equation for the pair #y=+-(x-2)#.

Here, #y = |x-2|>=0#

As #y>=0#, the graph consists of the half lines in the first two

quadrants given by the equations #x+-y=2#, emanating from the

common point (2, 0).

The graph of y is

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