$\"\"$

The parent function is $\"\"$ .

Tranformations of $\"\"$ :

After translating 5 units right, the function is $\"\"$ .

Then shifts 4 units up, then the function is $\"\"$ .

Rewrite $\"\"$ as $\"\"$ .

Therefore, the transformation function is $\"\"$ .

Option D is the correct choice.

$\"\"$

Option D is the correct choice.