Determine whether the given quadratic function has a maximum or minimum value. Then find that maximum or
minimum value
-$$f ( x ) = 5 ( x - 8 ) ^ { 2 } - 3$$
A) Maximum, -3
B) Minimum, -3
C) Minimum, 3
D) Minimum, 8

Question

Quizplus · Accepted Answer

The quadratic function is in the form $f(x) = a(x - h)^2 + k$, where $a = 5$, $h = 8$, and $k = -3$. Since $a > 0$, the parabola opens upwards, indicating a minimum value at the vertex $(h, k) = (8, -3)$.

Determine Whether the Given Quadratic Function Has a Maximum or Minimum