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# April 11

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### April 11

1. 1. April 11, 2013 Today: Warm-Up: Review for Final Exam Continue Solving Quadratic Equations by Graphing Class Work
2. 2. Reminders: •Khan Academy Topics for Sunday •All 3rd Qtr. Tests with Separate Answer Sheets available for download at V6Math site. •Also at V6Math: •Practice Final exam (20 questions) with Answers•Short Study Guides for Factoring Polynomials, Using the Square Root, and Quadratic Equations
3. 3. The Effect of a, b, & c on the Parabola :Which function has a steeper, narrower curve?a. -2x2 + x + 3 b. ⅗x2 + 4x + 6 c. x2 + 3x - 8
4. 4. Warm-Up/Final Exam Review: 1. If the parabola y = -x2 is flipped over, made 8 timesas wide, and shifted 3 units down the y-axis, write theequation for the new parabola. y = ⅛x2 - 32a. If the parabola y = x2 is flipped over, made 20 timesas narrow, and shifted 30 units up the y-axis, write theequation for the new parabola. y = -20x2 + 302b. What is the axis of symmetry? x = 0
5. 5. Warm-Up/Final Exam Review: Standard Form of an EquationRewrite the following into Standard Form: (x- 1)(x - 1) = x2 - 2x + 1 3x2 - 6x + 11 -x2 - 5x - 36 = x2 + 5x + 36
6. 6. Warm-Up/Final Exam Review: Solving Quadratics by Square RootsSolve:1. 2.3. 4.
7. 7. Warm-Up/Final Exam Review: Last Warm-Up Topic for Today: Simplifying Radicals
8. 8. Solving Quadratic Equations by Graphing:
9. 9. Solving Quadratic Equations by Graphing: 1. When graphing, the solutions to a quadratic x-intercepts equation are called the __________ 2. Knowing the vertex of a parabola gives you what 2 important pieces of information The parabola max. or min. and the center of the parabola. 3. After factoring a quadratic equation, the next step is find the axis of symmetry/vertexto:_____________________________ 4. After factoring and finding the aos/vertex, the next create a table of values step is to:______________________
10. 10. Solving Quadratic Equations by Graphing: 3. Solve the quadratic equation algebraically, then graphically. Name the axis of symmetry, vertex coordinates, roots, and state whether the vertex is a maximum or minimum: x2 - 2x - 8 = 0a. Can it be factored? b. Yes. (x - 4)(x + 2)c. The roots are: 4,-2 d. Find the axis of symmetry. 1 e. Then the vertex coordinates 1, -9f. Determine one more point forthe upper half of the parabola.Lets use x = 5. The y point is the • •same as for x = what? g. Connect the dots
11. 11. Solving Quadratic Equations by Graphing:
12. 12. Solving Quadratic Equations by Graphing:And Finally.....Graph: y = -x2 - 6x - 7
13. 13. Class WorkGraphing Quadratics handout: All Be sure to complete both tables before graphing