Determine whether the given quadratic function has a maximum or minimum value. Then find that maximum or minimum value.
-$f(x)=-(x+1)^{2}-1$
A) Minimum, -1
B) Maximum, 1
C) Maximum, - 1
D) Minimum, 1

Question

Quizplus · Accepted Answer

The quadratic function is in the form $f(x) = -(x+1)^2 - 1$, which opens downwards (because of the negative sign in front of the square term), indicating it has a maximum value. The vertex form of a quadratic function $f(x) = a(x-h)^2 + k$ gives the vertex as $(h, k)$. Here, the vertex is $(-1, -1)$, where -1 is the maximum value of the function.

Determine Whether the Given Quadratic Function Has a Maximum or Minimum