How do you graph #g(x)=abs(x)-3#?

1 Answer
Jun 26, 2016

The graph of #y=|x|# is the pair of bisectors of the 1st and 2nd quadrants. It looks like V, with vertex at O. the graph of #|y = g(x) =|x|-3# is this graph, moved right above, through 3 units.

Explanation:

#y=|x|# represents the pair of bisectors of the 1st and 2nd quadrants

It looks like V,, with vertex at O.

#|y = g(x) =|x|-3# represents the graph obtained by moving the graph

of #y=|x|#, right above, through 3 units. The vertex is now at (3, 0).