Intermediate Algebra (11th edition)

To derive a formula for the vertex of the graph of the quadratic function defined by complete the square. ƒ 1 x 2 = acx- a - b 2 ...

OBJECTIVE 2 Graph a quadratic function.We give a general approach. SECTION 9.6 More About Parabolas and Their Applications 543 G ...

OBJECTIVE 3 Use the discriminant to find the number of x-intercepts of a parabola with a vertical axis. Recall from Section 9.2t ...

OBJECTIVE 4 Use quadratic functions to solve problems involving maxi- mum or minimum value. The vertex of the graph of a quadrat ...

546 CHAPTER 9 Quadratic Equations, Inequalities, and Functions Finding the Maximum Height Attained by a Projectile If air resist ...

NOW TRY Completing the Square to Graph a Horizontal Parabola Graph Give the vertex, axis, domain, and range of the relation. Fac ...

548 CHAPTER 9 Quadratic Equations, Inequalities, and Functions y x a > 0 These graphs represent functions. y x (h, k) a < ...

Graph each parabola. ( Use the results of Exercises 5 – 8to help graph the parabolas in Exer- cises 23 – 26.) Give the vertex, a ...

39.After experimentation, two physics students from Ameri- can River College find that when a bottle of California wine is shake ...

In the model, represents 2010, represents 2015, and so on, and is in billions of dollars. (a)Concept Check How could you have pr ...

552 CHAPTER 9 Quadratic Equations, Inequalities, and Functions OBJECTIVES Polynomial and Rational Inequalities 9.7 1 Solve quadr ...

SECTION 9.7 Polynomial and Rational Inequalities 553 Because - 5 satisfies the inequality, allnumbers from Interval A are soluti ...

Now try 0 from Interval B. Original inequality Let False The numbers in Interval B are notsolutions. Verify that the test number ...

SECTION 9.7 Polynomial and Rational Inequalities 555 OBJECTIVE 2 Solve polynomial inequalities of degree 3 or greater. Solving a ...

Solving a Rational Inequality Solve and graph the solution set of Write the inequality so that 0 is on one side. (Step 1) Subtra ...

SECTION 9.7 Polynomial and Rational Inequalities 557 Solving a Rational Inequality Solve and graph the solution set of Write the ...

Solve each inequality, and graph the solution set. See Example 2.( Hint: In Exercises 21 and 22, use the quadratic formula.) ...

SECTION 9.1 The Square Root Property and Completing the Square 559 9.1 quadratic equation 9.2 quadratic formula discriminant 9.3 ...

Completing the Square To solve Step 1 If divide each side by a. Step 2 Write the equation with the variable terms on one side an ...

9.4 Formulas and Further Applications To solve a formula for a squared variable, proceed as follows. (a) If the variable appears ...