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# April 19

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### April 19

1. 1. April 19, 2013 Today: Warm-Up: Review Solving Quadratic Options New Topic: Quadratic Formula Class Work
2. 2. Warm-Up:1. Solve by factoring: x2 + 6x - 7 = 0 x = - 7; x = - 11a. Now, find the axis of symmetry and vertex AOS = -3 Vertex = (-3, 16)2. Solve by Completing the square: ( )2 = ??2a. What do you notice? 3. When graphing a quadratic, it may be easier/fasterto complete the square even if the equation can befactored.
3. 3. Warm-Up: 3. Graph the parabola f(x) = x2 - 6x + 8. Name the zeros, the vertex coordinates, and the axis of symmetry.4. Find the zeros, axis of symmetry and vertex coordinates of the parabola y = -2x2 - 12x - 16 = 0 Zeros = -3 AOS = -3 Vertex = (-2, 2)
4. 4. Warm-Up:5. Use any method to find the roots, axis ofsymmetry, and vertex of y = -x2 + 4x - 46. Use any method to find the roots, axis ofsymmetry, and vertex of 2x2 - 20x + 50 = 07. Factor completely: y2 + 2x + yx + 2y8. Complete the Square: 25x2 + 40x - 9 = 0
5. 5. The Quadratic Formula:x2 + 2x + 1 = 0 -2±0 x = -1 2
6. 6. The Quadratic Formula: 2. Solve: 2x2 + 5x + 3 = 0 x = -1, -1.5Is there an easier way to solve? Factoring? SquareRoots? Completing the square? The quadratic formulais likely the easiest and best method for solving.3. Solve: 4x2 + x + 5 = 0 No Real Solution
7. 7. The Quadratic Formula:Conjugate: Joinedtogether, especially ina pair. Connected. x2 + 2x + 1 = 0 -2±0 2 x = -1
8. 8. Class WorkProblems 1 - 9; show all work