$\"\"$

Observe the given graph :

The parent function is an absolute value function, i.e, $\"\"$ .

Graph of the function $\"\"$ is : \ \

$\"$

Let $\"\"$ be the function after transformation.

Observe the two graphs f and g :

The graph of g is a horizontal shift of four units to the left followed by a downward shift of two units of the graph of $\"\"$ .

So, the equation for the given graph is $\"\"$ . $\"\"$

The equation for the given graph is $\"\"$ .