Question

What is a quadratic function with example?

Answer 1

Quadratic function:

A quadratic function is defined as a polynomial function in which the highest exponent of the variable is two.

The graph of a quadratic function is always a parabola.

The equation of general quadratic function is written as, $\mathbf{f}\mathbf{\left(}\mathbf{x}\mathbf{\right)}\mathbf{=}{\mathbf{ax}}^{\mathbf{2}}\mathbf{+}\mathbf{bx}\mathbf{+}\mathbf{c}$

where $a,b$and $c$ are numbers with $a$ not equal to zero.

Example:

$$\begin{gathered} f\left(x\right)=x^2+6x+9 \\ f\left(x\right)=x^2+10x+25 \\ f\left(x\right)=4x^2+16x+16 \end{gathered}$$

Hence, the quadratic function is a polynomial function in which the highest exponent of the variable is two.