F(x)=-x^(2) -1 shift 2 units to the left

Question

`f(x)=-x^(2) -1`
shift 2 units to the left

Answer 1

In order to shift a function 2 units to the left, yo have to compute it at
`x+2` instead of
`x`.

So, we have

`f(x)=-x^2-1\mapsto f(x+2)=-(x+2)^2-1=-x^2-4x-4-1=-x^2-4x-5`