Question

Give an example of a quadratic function and state its related quadratic equation.

Short answer

The example of a quadratic function is $f\left(x\right)=4x^2+12x+9$and the related quadratic equation is$4x^2+12x+9=0$.

Step-by-step solution

Step 1. Given Information.

Given to write an example of a quadratic function and then to state its related quadratic equation.

Step 2. Explanation.

An example of a quadratic function is given by:

$f\left(x\right)=4x^2+12x+9$

For an quadratic equation, the value of the function is set to 0. Hence the related quadratic equation is given by:

$4x^2+12x+9=0$

Step 3. Conclusion.

Therefore, the example of a quadratic function is $f\left(x\right)=4x^2+12x+9$ and the related quadratic equation is $4x^2+12x+9=0$.