Quadratic Function Math Definition

Quadratic function is a function that can be described by an equation of the form f x ax 2 bx c where a 0.

Quadratic function math definition. A quadratic function is a polynomial function with the highest order as 2. In a quadratic function the greatest power of the variable is 2. An equation where the highest exponent of the variable usually x is a square 2. The expression in the definition of a quadratic function is a polynomial of degree 2 or second order or a 2nd degree polynomial because the highest exponent of x is 2.

In algebra a quadratic equation from the latin quadratus for square is any equation that can be rearranged in standard form as where x represents an unknown and a b and c represent known numbers where a 0 if a 0 then the equation is linear not quadratic as there is no term. For example a polynomial function can be called as a quadratic function since the highest order of is 2. But not x3 etc. The graph of a quadratic function is a parabola.

The numbers a b and c are the coefficients of the equation and may be distinguished by calling. In algebra quadratic functions are any form of the equation y ax2 bx c where a is not equal to 0 which can be used to solve complex math equations that attempt to evaluate missing factors in the equation by plotting them on a u shaped figure called a parabola. Definition of quadratic function. A quadratic equation is usually written ax2 bx c 0.

In math we define a quadratic equation as an equation of degree 2 meaning that the highest exponent of this function is 2. A quadratic polynomial with two real roots crossings of the x axis and hence no complex roots. In short the quadratic function definition is a polynomial function involving a term with a second degree and 3 terms at most. The standard form of a quadratic is y ax 2 bx c where a b.

So it will have something like x2. More about quadratic function.