ANSWER
[tex]g(x) = \sqrt{x + 4} [/tex]
EXPLANATION
The parent square root function is
[tex]f(x) = \sqrt{x} [/tex]
The translation
[tex]g(x ) = \sqrt{x + k} [/tex]
Will shift the graph of f(x) k units to left.
The translation
[tex]g(x) = \sqrt{x -k} [/tex]
will shift the graph of f(x) to the right by k units.
Therefore if f(x) is shifted 4 units to the left its new equation is:
[tex]g(x) = \sqrt{x + 4} [/tex]
