What are the examples of a nature of the zeros of as quadratic function?

The nature of the zeros of a quadratic function, represented as ( ax^2 + bx + c = 0 ), can be determined using the discriminant ( D = b^2 - 4ac ). If ( D > 0 ), there are two distinct real zeros; if ( D = 0 ), there is one real zero (a double root); and if ( D < 0 ), there are no real zeros, but two complex zeros. These characteristics help in understanding the graph of the quadratic function and its intersections with the x-axis.