R2) What is your favorite method when attempting to solve a quadratic equation? Why? R1) Did you ever try a certain method and run into a problem? What did you learn from that? 10.4 Graphs of Quadratic Equations What are your objectives for Section 10.4? How can you accomplish each objective? 1 Graph Basic Parabolas • Understand the defi nitions of parabola and vertex, and know the property The Graph of a Quadratic Equation of the Form y ax2 bx c. • Complete the given examples on your own. • Complete You Trys 1 and 2. 2 Graph a Quadratic Equation of the Form y ax2 bx c • Review graphing parabolas by plotting points. • Learn the procedure for Finding the Vertex of a Parabola of the Form y ax2 bx c. • Learn the procedure for Graphing a Parabola of the Form y ax2 bx c. • Complete the given examples on your own. • Complete You Trys 3 and 4. Read the explanations, follow the examples, take notes, and complete the You Trys. 1 Graph Basic Parabolas In Chapter 3, we learned that the graph of a linear equation is a line. In this section, we will learn how to graph quadratic equations in two variables. Property The Graph of a Quadratic Equation of the Form y ax2 bx c The graph of a quadratic equation of the form y ax2 bx c is called a parabola. The lowest point on a parabola that opens upward or the highest point on a parabola that opens downward is called the vertex. The simplest form of a quadratic equation is y x2. To graph it, we will make a table of values. www.mhhe.com/messersmith SECTION 10.4 Graphs of Quadratic Equations 631
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