Answer
$f(x)=\sqrt{x+2}$
Work Step by Step
Given the standard function, $
f(x)=\sqrt{x}
$, the equation of the graph that shifts to the left will have a positive constant added to the $x-$variable. Hence, a shift of $2$ units to the left will have the equation,
\begin{array}{l}\require{cancel}
f(x)=\sqrt{x+2}
.\end{array}