Maximum/Minimum of Quadratic Functions

Quadratic functions, represented as y=ax^2+bx+c, can have either maximum or minimum values. The nature of these values is determined by the value of 'a'. If 'a' is a positive number, the function will reach its minimum value at the vertex. Conversely, if 'a' is negative, the function will achieve its maximum value at the vertex. The x-coordinate of the vertex can be calculated using the formula -b/2a. This concept is extensively used in the fields of optimization problems and physics computations.