Answer
see graph
Work Step by Step
The black graph is the graph of the standard function, $y=
\sqrt{x}
$.
The red graph is the graph of the given function, $y=
\dfrac{1}{2}\sqrt{x+4}-3
.$ It is the result of shifting the graph of the standard function by $4$ units to the left, horizontally stretching by a factor of $2$ units, and shifting by $3$ units down.