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A quadratic function is a type of polynomial function that specifically follows a second-degree polynomial equation.

The general form of a quadratic function is \( f(x) = ax^2 + bx + c \)

Where:

• • • • f(x) represents the function value at x.
      • x is the independent variable.
      • a, b, and c are constants, with “a” not equal to zero. The coefficient “a” determines the overall shape and orientation of the quadratic graph.
      • 
        The terms “bx” and “c” represent the linear and constant coefficients, respectively.

A quadratic function in factor form is a way to represent a quadratic equation by factoring it into its constituent linear factors. In this form, the quadratic equation is expressed as the product of two linear factors.

The general form of a quadratic function in factors form is \( f(x) = a(x – r)(x – s) \)

Where:

• • • f(x) represents the function value at x.
    • x is the independent variable.
    • a is the leading coefficient that scales the entire function.
    • (r, s) are the roots or zeros of the quadratic equation, which are the x-values where the function equals zero.