Step 1 :The transformations applied to the function \(y=\sqrt{x}\) are as follows:
Step 2 :1) Reflect about the x-axis: This changes the function to \(y=-\sqrt{x}\).
Step 3 :2) Shift down 3 units: This changes the function to \(y=-\sqrt{x}-3\).
Step 4 :3) Shift left 4 units: This changes the function to \(y=-\sqrt{x+4}-3\).
Step 5 :\(\boxed{\text{Final Answer: The final function after all transformations is } y=-\sqrt{x+4}-3. \text{ The graph of this function is a reflection of the graph of } y=\sqrt{x} \text{ about the x-axis, shifted down 3 units and left 4 units.}}\)