9 Chapter Review

Connecting BIG ideas and Answering the Essential Questions

1 Function The family of quadratic functions has equations of the form y = a x 2 + b x + c , y equals , eh x squared , plus b x plus c comma  where a ≠ 0 . eh not equal to 0 .  The graph of a quadratic function is a parabola.	Graphing Quadratic Functions (Lessons 9-1 and 9-2)
2 Solving Equations and Inequalities You can solve quadratic equations using several methods.	Solving Quadratic Equations (Lessons 9-3, 9-4, 9-5, and 9-6) a x 2 + b x + c = 0 x = − b ± b 2 − 4 a c 2 a table with 2 rows and 1 column , row1 column 1 , eh , x squared , plus b x plus c equals 0 , row2 column 1 , x equals . fraction negative b plus minus . square root of b squared , minus 4 eh c end root , over 2 eh end fraction , end table	Systems of Linear and Quadratic Equations (Lesson 9-8) Two solutions One solution No solution
3 Modeling To model a data set, choose a function that most closely matches the pattern in the data or graph.	Choosing a Model (Lesson 9-7) y = m x + b y equals m x plus b y = a x 2 + b x + c y equals , eh x squared , plus b x plus c y = a · b x y equals eh middle dot , b to the x

Chapter Vocabulary

• axis of symmetry (p. 534)
• completing the square (p. 561)
• discriminant (p. 570)
• maximum (p. 535)
• minimum (p. 535)
• parabola (p. 534)
• quadratic equation (p. 548)
• quadratic formula (p. 567)
• quadratic function (p. 534)
• root of an equation (p. 548)
• vertex (p. 535)
• zero of a function (p. 548)

Choose the correct term to complete each sentence.

1. The U-shaped graph of a quadratic function is a(n) ?.
2. The line that divides a parabola in half is the ?.
3. The ? can be used to determine the number of real-number solutions of a quadratic equation.
4. The ? of a parabola is the point at which the parabola intersects the axis of symmetry.

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