Question Given the function $f(x)=-x^{2}-2 x$, then what is $f(x)-1$ as a simplified polynomial?

Step 1 ：Given the function \(f(x)=-x^{2}-2 x\), we are asked to find \(f(x)-1\) as a simplified polynomial.

Step 2 ：Subtract 1 from the original polynomial \(f(x) = -x^{2} - 2x\) to get \(f(x) - 1\).

Step 3 ：\(f(x) - 1 = -x^{2} - 2x - 1\)

Step 4 ：Final Answer: The simplified polynomial \(f(x) - 1\) is \(\boxed{-x^{2} - 2x - 1}\).