Question

Determine the maximum and minimum values of quadratic functions.

a) QuadMinMax
b) QuadOptimize
c) QuadExtreme
d) QuadValues

Answer 1

The maximum or minimum value of a quadratic function depends on its shape. If the coefficient 'a' is positive, the parabola opens upwards and has a minimum value at its vertex. If the coefficient 'a' is negative, the parabola opens downwards and has a maximum value at its vertex.

Step-by-step explanation:

A quadratic function is a function of the form f(x) = ax² + bx + c, where a, b, and c are constants. The graph of a quadratic function is a parabola. The maximum or minimum value of a quadratic function depends on its shape.

If the coefficient 'a' is positive, the parabola opens upwards and has a minimum value at its vertex. If the coefficient 'a' is negative, the parabola opens downwards and has a maximum value at its vertex.

The maximum or minimum value of a quadratic function can be found using the formula:

Vertex = (-b / (2a), f(-b / (2a)))