The absolute value function is $\"\"$ .

Observe the graph:

The translation is vertical translation.

The graph of $\"\"$ is the graph of $\"\"$ translated.

$\"\"$ units up when $\"\"$ , and $\"\"$ units down when $\"\"$ .

Here $\"\"$ .

The graph of $\"\"$ is the graph of $\"\"$ translated $\"\"$ units down.

The equation is $\"\"$ .

$\"\"$ .