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

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 $| y = g \left(x\right) = | x | - 3$ 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.

$| y = g \left(x\right) = | x | - 3$ represents the graph obtained by moving the graph

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