ANSWER
Option D
EXPLANATION
The given function is
[tex]y = \sqrt{16x - 32} - 3[/tex]
We factor 16 under the radical.
[tex]y = \sqrt{16(x - 2)} - 3[/tex]
[tex]y = \sqrt{16} \times \sqrt{(x - 2)} - 3[/tex]
[tex]y = 4 \sqrt{x - 2} - 3[/tex]
This is the graph of
[tex]y = 4\sqrt{x } [/tex]
translated 2 units right and 3 units down.
The last option is the correct choice.
