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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 $f (x) = 4 x^{2} + 12 x + 9$ and the related quadratic equation is $4 x^{2} + 12 x + 9 = 0$ .

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:

$f (x) = 4 x^{2} + 12 x + 9$

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

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

03

Step 3. Conclusion.

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

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Most popular questions from this chapter

Use the related graph of each equation to determine its solutions $x^{2} + 3 x - 4 = 0$ .

Complete parts a-c for each quadratic function.

Find y-intercept, the equation of the axis of symmetry, and the x-coordinate of the vertex.
Make a table of values that includes the vertex.
Use this information to graph the function.

$f (x) = x^{2} + 2 x$

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

$f (x) = - 20 x + 5 x^{2} + 9$

Complete parts a-c for each quadratic function.

Find y-intercept, the equation of the axis of symmetry, and the x-coordinate of the vertex.
Make a table of values that includes the vertex.
Use this information to graph the function.

$f (x) = 3 x^{2} + 10 x$

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

$f (x) = - x^{2} + 7$

See all solutions

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