The parent function is $\"\"$ .

Difference between the functions $\"\"$ and $\"\"$ :

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

The graph of $\"\"$ is the graph of $\"\"$ shifted right $\"\"$ units.

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

The graph of $\"\"$ is the graph of $\"\"$ shifted right $\"\"$ units.