Quadratic Function

What are Quadratic Functions?

Quadratic functions are the polynomial function with degree 2.

Write the Standard Form of the Quadratic Function.

The standard form of quadratic equation is: f(x) = ax² + bx + c where, a, b and c are real numbers and a ≠ 0

Write the Formula for Calculating the Roots of the Quadratic Function.

The formula for calculating the roots of the quadratic function (f(x) = ax² + bx + c) is given by:

x = [-b ± √ (b² – 4ac)] / 2a

What are the Different forms of Quadratic Equations?

Different forms of quadratic equation are:

• Standard form
• Vertex form
• Intercept form

What is the Direction of the Parabola if a>0 and a<0, where a is the Leading Coefficient of the Quadratic Function?

The direction of the parabola is upwards (opens upwards) when a > 0 and open downwards when a < 0.

A quadratic function is a type of polynomial function where the highest exponent of the variable is 2. It generally has the form: f(x)= ax²+bx+c where a, b and c are constants with a≠0 and x is a variable and c is a constant.

Quadratic Functions are the type of polynomial function that has degree 2 and is a very important function as it is used in various fields of mathematical studies and also has real-life applications as well.

As quadratic function is similar to parabola or we can say quadratic function are the most general parabola, thus it can be used in all the fields where parabolas and their parabolic properties can be used.

Let’s learn about Quadratic Function formula, equation, graph and it’s example below.