SWBA T: Write Quadratic Functions Give the Roots. Solve quadratic equations algebraically and graphically Lesson 11-7 Do Now: 1. _____________________________________________________________________ 2. 1 SWBA T: Write Quadratic Functions Give the Roots. Solve quadratic equations algebraically and graphically Lesson 11-7 Solving Quadratic Equations Graphically 1) Find the a) roots/zeros of the quadratic functions and b) write the equation for the graph in factored form and c) a trinomial. 2) Solve the equation by factoring and by graphing. x 6x 8 0 2 Where does y = 0?________________ 2 SWBA T: Write Quadratic Functions Give the Roots. Solve quadratic equations algebraically and graphically Lesson 11-7 Solving Quadratic Equations 3) a) Find the roots graphically. 4) a) Find the roots graphically. b) Solve the quadratic equation algebraically b) Solve the quadratic equation algebraically y x2 6x 5 y x2 2x 3 SWBA T: Write Quadratic Functions Give the Roots. Solve quadratic equations algebraically and graphically Lesson 11-7 Solving Quadratic Equations Algebraically Steps for Solving Quadratic Equations Algebraically 1. If necessary, transform the equation into standard form. 2. Factor the left member of the equation. 3. Set each factor containing the variable equal to zero. 4. C heck by substituting each value of the variable in the original equation. Solve each quadratic equation. 5) x(x - 7) = 0 7) x2 + 5x + 6 =0 9) x2 - 9 = 0 11) x2 - x = 2 6) 4x(x + 4) = 0 8) x2 - 6x + 9 = 0 10) x2 - 64 = 0 12) x2 + 15x = -44 4 SWBA T: Write Quadratic Functions Give the Roots. Solve quadratic equations algebraically and graphically Lesson 11-7 13) x2 = 3x 14) 7x2 = - 2x 5 SWBA T: Write Quadratic Functions Give the Roots. Solve quadratic equations algebraically and graphically Lesson 11-7 Multiple Choice Practice 15) 16) Summary 6 SWBA T: Write Quadratic Functions Give the Roots. Solve quadratic equations algebraically and graphically Lesson 11-7 LESSON PRACTICE # 1, 4, 5, 6, 7, 9, 11, 13, 15 7 SWBA T: Write Quadratic Functions Give the Roots. Solve quadratic equations algebraically and graphically Lesson 11-7 LESSON PRACTICE ANSWERS # 1, 4, 5, 6, 7, 9, 11, 13, 15 8
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