Question

f(x)=-x^2-2x-4

Does the function have a minimum or maximum value?
Where does the minimum or maximum value occur? x = ____
What is the function's minimum or maximum value?

Answer 1

Notice the minus sign in front of x^2==> Maximum

Then, find the vertex:

x_vertex = 2/(-2)=-1, and the corresponding f(x) is
f(-1)=-1+2-4 = -3

Maximum at (-1,-3)