Determine whether the given quadratic function has a maximum or minimum value. Then find that maximum or
minimum value
-$$f ( x ) = 3 x ^ { 2 } - 18 x + 22$$
A) Maximum, 3
B) Minimum, -5
C) Maximum, -5
D) Minimum, 3

Question

Quizplus · Accepted Answer

The quadratic function $f(x) = 3x^2 - 18x + 22$ has a positive leading coefficient (3), indicating it opens upwards and thus has a minimum value. The vertex form reveals the minimum value, calculated as $-\frac{b}{2a}$ for x, and substituting back into the function gives the minimum value of -5.

Determine Whether the Given Quadratic Function Has a Maximum or Minimum