The parent function f is given by:
[tex]f(x)=\sqrt{x}[/tex]
Translating the function horizontally 3 units to the left gives a new function h:
[tex]h(x)=\sqrt{x+3}[/tex]
Translate the new function h vertically up by 4 units to get g:
[tex]g(x)=\sqrt{x+3}-4[/tex]
Therefore, the correct choice is:
