April 8

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April 8

  1. 1. April 8, 2013 Today: Khan Academy Topics for the Week: Solving Quadratics by Taking the Square Root **Graphing Parabolas in Standard Form Warm-Up (7)Using Square Roots to Solve Quadratics
  2. 2. Warm-Up/Review:1. Find the axis of symmetry, vertex, and graph the function
  3. 3. Warm-Up/Review:2. Find the zeros of the function
  4. 4. Warm-Up/Review:
  5. 5. Write a Quadratic Equation Given Roots
  6. 6. Write a Quadratic Equation Given RootsIf all you had were the roots of a quadratic equation.Could you write the equation that produced the roots?The roots of a quadratic equation are -2 and 6. Write aquadratic model with leading coefficient of 1. Work backwards: start with your answer x = -2 or x = 6 solutions/roots x + 2 = 0 or x – 6 = 0 equation for roots (x + 2)(x - 6) = 0 quadratic equation x² - 6x + 2x – 12 = 0 distribute using FOIL x² - 4x – 12 = 0 combine like terms This is the quadratic equation with roots {-2, 6}
  7. 7. Write a Quadratic Equation Given RootsThe roots of a quadratic equation are 7 and - 1. Write aquadratic model with leading coefficient of 1. x=7 or x=-1 solutions/roots x - 7 = 0 or x + 1 = 0 equation for rootsx² - 6x – 7 = 0 combine like terms
  8. 8. Write a Quadratic Equation Given Roots A parabola crosses the y axis at -3 and 1.a. Write a quadratic function with a leading coefficient of 1. b. Graph the resulting parabola. y2 + 2y - 3 Vertex is: -4,-1Axis of Symmetry is: -4,-1Plot for y = 2, then graph • • • • •
  9. 9. Take the square root ofboth sides2. Graph the function.Change the equation to:y=
  10. 10. The solution is usually further simplified by "rationalizing the denominator." This is done by removing the square root from the denominator. How can we make thedenominator 5?Always factor outperfect squares
  11. 11. Determining the Number of Solutions
  12. 12. April 9, 2013 Today: Reminder: Khan Academy Warm-UpUsing Square Roots to Solve Quadratics: Roots & Radicals by the Rules
  13. 13. Practice Questions for Tests/Finals
  14. 14. (4)
  15. 15. Class Work 10-2: Simplifying Radical ExpressionsLadies: Do even numbered ProblemsGentlemen: Odd numbered Problems Show All Work!!
  16. 16. Warm-Up/Review:A batter smashed a fastball high into the gap betweenleft and center fields. The path of the ball is shownby the equation y = -.2x2 + .5x. This allowed the centerfielder enough time to run and make the catch. Howhigh was the ball hit? -1/.02 = 50; x = 50 Substitute 50 for x; y = y=
  17. 17. Warm-Up/Review:

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