Determine a Quadratic Function's Minimum or Maximum Value
Determine whether the given quadratic function has a minimum value or maximum value. Then find the
coordinates of the minimum or maximum point.
-$$f ( x ) = - x ^ { 2 } - 2 x - 4$$
A) maximum; $( - 1 , - 3 )$
B) minimum; $( - 1 , - 3 )$
C) minimum; $( - 3 , - 1 )$
D) maximum; $( - 3 , - 1 )$

Question

Quizplus · Accepted Answer

The quadratic function is in the form $f(x) = ax^2 + bx + c$, with $a = -1$, $b = -2$, and $c = -4$. Since $a < 0$, the parabola opens downwards, indicating a maximum point. The vertex (maximum point) can be found using the formula $(-b/2a, f(-b/2a))$, which gives $(-1, -3)$ for this function.

Determine a Quadratic Function's Minimum or Maximum Value Determine Whether f(x)=−x2−2x−4f ( x ) = - x ^ { 2 } - 2 x - 4f(x)=−x2−2x−4

Determine a Quadratic Function's Minimum or Maximum Value
Determine Whether $f ( x ) = - x ^ { 2 } - 2 x - 4$