1. Bellwork 1. x² +13x + 36 = 0 2. x² +12x +36 = 0 3. x² = 4x + 21 4. 2x² + 5x = 12 5. Solve x²-4x-7 = 0 by completing the square. Round your answer to the nearest tenth. Solve each equation by factoring and then applying the zero-product property.

2. Mountain Dew Challenge Question The zeros for a quadratic function are (-2,0) and (0.5, 0 ). What is the equation for the axis of symmetry? The axis of symmetry for the quadratic function y=2x-2+x² is x=2. Find the coordinates for the vertex of the parabola.

3. LESSON 5.5 The Quadratic Formula

4. Lesson 5.5 The Quadratic Formula Using the method of completing the square, you can derive a formula that can be used to solve any quadratic equation in standard form. The Quadratic Formula EXAMPLE: Use the quadratic formula to solve 4x²= 8 -3x. Give EXACT solutions and approximate solutions to the nearest tenth.

5. TRY: 2X² - 6X = -3 5X²- 2X- 3 = 0 Try This: Use the quadratic formula to solve each. Give EXACT solutions and approximate solutions to the nearest tenth.

6. The Axis of Symmetry of a Parabola Axis of Symmetry of a Parabola If y =ax²+bx+c, where a≠0, the equation for the axis of symmetry of the parabola is: x = EXAMPLE: For each quadratic function, write the equation for the axis of symmetry, and find the coordinates of the vertex. y= -x²-6x+2

7. Y = -2X²+8X+13 Y= -1 – 8X +12X² Try These: For each quadratic function, write the equation for the axis of symmetry, and find the coordinates of the vertex.

8. LESSON 5.5 WORKSHEET 5.5 HOMEWORK