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Chapter 6: Q2. (page 297)

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

Short Answer

Expert verified

The example of a quadratic function is fx=4x2+12x+9and the related quadratic equation is4x2+12x+9=0.

Step by step solution

01

Step 1. Given Information.

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

02

Step 2. Explanation.

An example of a quadratic function is given by:

fx=4x2+12x+9

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

4x2+12x+9=0

03

Step 3. Conclusion.

Therefore, the example of a quadratic function is fx=4x2+12x+9 and the related quadratic equation is 4x2+12x+9=0.

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Most popular questions from this chapter

Solve each equation by graphing. If exact roots cannot be found, state the consecutive integers between which the roots are located.

-x2-7x=0

Determine whether each function has a maximum or minimum value. Then find the maximum or minimum value of the function.

f(x)=4x2+12x+9

Find the coordinates of the maximum or minimum value of each quadratic equation to the nearest hundredth.

fx=2x2-3x+2

Solve each equation by graphing. If exact roots cannot be found, state the consecutive integers between which the roots are located.

4x2-8x=5

Use the related graph of each equation to determine its solutions.

x2+8x+16=0
See all solutions

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