ANSWER
![\boxed {D}](https://img.qammunity.org/2020/formulas/mathematics/middle-school/cx4ls3y4theu8nr9n731l3wuoppb3i2703.png)
Step-by-step explanation
The given function is,
![g(x) = ⌈x + 3⌉](https://img.qammunity.org/2020/formulas/mathematics/middle-school/8jb60kpbu0jcimxh5n3r0g4u5ejcznakg0.png)
The parent function of this ceiling function is
![g(x) = ⌈x ⌉](https://img.qammunity.org/2020/formulas/mathematics/middle-school/r32yegpjvdavsdg8bp1zekzy9jq0jlb6gh.png)
When this function is shifted horizontally 3 units to the left, we obtain the transformed function,
![g(x) = ⌈x + 3⌉](https://img.qammunity.org/2020/formulas/mathematics/middle-school/8jb60kpbu0jcimxh5n3r0g4u5ejcznakg0.png)
The correct answer is option D.
See attachment.