Determine, without graphing, whether the given quadratic function has a maximum value or a minimum value and then
find that value.
-$$f ( x ) = - 10 x ^ { 2 } - 2 x - 8$$
A) maximum; $\frac { 79 } { 10 }$
B) maximum; $- \frac { 79 } { 10 }$
C) minimum; $\frac { 79 } { 10 }$
D) minimum; $- \frac { 79 } { 10 }$

Question

Quizplus · Accepted Answer

The quadratic function has a maximum value because the coefficient of $x^2$ is negative. The vertex form gives the maximum value at the vertex, calculated as $-\frac{b^2 - 4ac}{4a}$, which results in $-\frac{79}{10}$.

Determine, Without Graphing, Whether the Given Quadratic Function Has a Maximum