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).