$\"\"$

The function is $\"\"$ .

This function represents a transformation of the graph of $\"\"$ .

The transformation of function general form is $\"\"$ .

Thus, here

$\"\"$ , the graph is stretches vertically and reflected across the $\"\"$ -axis.

$\"\"$ , the graph is shifted $\"\"$ units left.

$\"\"$ , the graph is translated $\"\"$ units down.

Graph:

Graph the function $\"\"$ .

$\"\"$

Observe the graph:

Domain is $\"\"$ .

Range is $\"\"$ .

$\"\"$

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

$\"\"$

The domain is $\"\"$ and the range is $\"\"$ .