Graph the following function using the techniques of shifting, compressing, stretching, and/or reflecting. Start with the graph of the basic function shown to the right. Find the domain and range of the function.
\[
h(x)=\sqrt{-x}-6
\]

Step 1 ：The function given is a transformation of the basic function \(f(x) = \sqrt{x}\). The negative sign in front of x reflects the graph about the y-axis and the -6 shifts the graph down by 6 units.

Step 2 ：The domain of the function is all x such that \(x \leq 0\), because we cannot take the square root of a negative number.

Step 3 ：The range of the function is all y such that \(y \geq -6\), because the square root function always returns a non-negative number and we are subtracting 6.

Step 4 ：To graph this function, we can start with the graph of \(f(x) = \sqrt{x}\), reflect it about the y-axis, and then shift it down by 6 units.

Step 5 ：\(\boxed{\text{Final Answer: The graph of the function } h(x)=\sqrt{-x}-6 \text{ is a reflection of the graph of } f(x) = \sqrt{x} \text{ about the y-axis, shifted down by 6 units. The domain of the function is } x \leq 0 \text{ and the range of the function is } y \geq -6.}\)