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Question

What is a quadratic function with example?


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Solution

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, f(x)=ax2+bx+c

where a,band c are numbers with a not equal to zero.

Example:

f(x)=x2+6x+9f(x)=x2+10x+25f(x)=4x2+16x+16

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


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