ANSWER
[tex] \boxed {D}[/tex]
EXPLANATION
The given function is,
[tex]g(x) = ⌈x + 3⌉[/tex]
The parent function of this ceiling function is
[tex]g(x) = ⌈x ⌉[/tex]
When this function is shifted horizontally 3 units to the left, we obtain the transformed function,
[tex]g(x) = ⌈x + 3⌉[/tex]
The correct answer is option D.
See attachment.