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# April 23, 2014

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• 1. Today:  Welcome Back  Notebook, pencil, calculator ready  Review for final exam and test
• 2. Reminders:  All Khan Academy Due by 3:00 & 9:00  There will be a test on Friday. We will review today and tomorrow.  The unit on Quadratics is almost finished; we begin our unit on radicals tomorrow.  Next Khan will be given Monday.  Classwork: Show all work, and most importantly, complete & turn in.  We are reviewing for the final exam first, then our test Friday, including new material. Get your pencil, calculator, and WORK THE PROBLEMS!!
• 3. Warm-Up/Final Exam Review:
• 4. Warm-Up/Final Exam Review:
• 5. Warm-Up/Final Exam Review:? Simplify:
• 6. Warm-Up/Final Exam Review: Drawing a number line helps, especially with the negative numbers Which relation below is not a function? A. B.
• 8. no 1. Without graphing, tell whether (3, 12) is on the graph of y = 2x2 – 5. Quadratic Review/Test Prep: 2. What is the vertex of the equation: 3. What method are you using to solve?
• 9. Write a Quadratic Equation Given Roots
• 11. The roots of a quadratic equation are 7 and - 1. Write a quadratic equation with leading coefficient of 1. x - 7 = 0 or x + 1 = 0 equation for roots x = 7 or x = - 1 solutions/roots x² - 6x – 7 = 0 combine like terms Write a Quadratic Equation Given Roots
• 12. A parabola crosses the y axis at -3 and 1. a. Write a quadratic function where x is a function of y: f(y) =b. find the AOS, vertex, then graph Write a Quadratic Equation Given Roots y2 + 2y - 3 Vertex is: -4,-1 Axis of Symmetry is: -4,-1 • • • • • Plot for y = 2, then graph
• 13. Completing the Square 6x2 + 24x – 84 = 0
• 14. Take the square root of both sides 2. When graphing, change the equation to: y = (x – 2)2 - 16 4x3 = 9x
• 15. Rationalizing the Denominator
• 16. We will start with a simple case of a radical in the denominator. This must be removed. Why? Rationalizing the Denominator By "rationalizing the denominator." (Changing the denominator from a radical number to a rational one.) This is done by removing the square root from the denominator. How can we make the denominator 2? It’s just a generally agreed upon thing in math, that’s all. How is it done? Simplify: Finally:
• 17. Always factor out perfect squares Rationalizing the Denominator
• 18. The Quadratic Formula Solve using the Quadratic Formula 3x2 = 5x - 2 x = 5 + 1 6 = 1, 2/3