STUDY GUIDE for ALGEBRA CHAPTER 9 TEST: Quadratic Functions Thursday, April 4, 2013 and Friday, April 5, 2013 Section 9.1 9.2 9.3 9.4 Chapter 7 Chapter 8 Topic Graphing Quadratic Functions Solving Quadratic Equations by Graphing Solving Quadratic Equations by Completing the Square Solving Quadratic Equations by Using the Quadratic Formula Polynomials Factoring Number of Questions 2 2 4 4 Standards 21.0 21.0, 22.0 14.0 19.0, 20.0, 22.0 2 2 2.0, 10.0 11.0, 14.0 STANDARDS TO KNOW 2.0* Understand and use the rules of exponents. 10.0* Add, subtract, multiply, and divide monomials and polynomials. Solve multistep problems, including word problems, by using these techniques. 11.0 Apply basic factoring techniques to second-and simple third-degree polynomials. These techniques include finding a common factor for all terms in a polynomial, recognizing the difference of two squares, and recognizing perfect squares of binomials. 14.0* Solve a quadratic equation by factoring or completing the square. 19.0* Know the quadratic formula and be familiar with its proof by completing the square. 20.0* Use the quadratic formula to find the roots of a second-degree polynomial and to solve quadratic equations. 21.0* Graph quadratic functions and know that their roots are the x-intercepts. 22.0 Use the quadratic formula or factoring techniques or both to determine whether the graph of a quadratic function will intersect the x-axis in zero, one, or two points.