1. 8/31/15 Alg 2

2. Bellwork 8/31/15

4. XF(x) 0 1 2 3 4

5. How do I know what x-values to use? You need at least 5 x-values. The “middle” x-value should be the x-value of the vertex. XF(x) Vertex-2 Vertex-1 Vertexvertex Vertex+1 Vertex+2

6. Bellwork 9/1/15

7. Find the vertex for the given functions

8. Decide if the vertex is a max or a min, and which way the parabola opens. What is the domain and range of each?

9. Your turn: find the vertex, and state max or min, and how the parabola opens.

11. Forms of quadratic functions

12. Bellwork 9/2 3.Write the domain and range for the functions in #1 and #2 using interval notation.

13. Solving quadratics by graphing. The solutions to a quadratic have a few different names 1.Roots 2.Zeros 3.Solutions 4.X-intercepts

14. Find the solutions if they exist, describe the domain and range in interval notation.

15. Understanding the Vertex 1.If the vertex is (-1, -3) and the parabola opens down, how do we know that there are no real zeros? 2.If the vertex is (9, 0) how do we know that there is one real zero? 3.Vertex is ______ and the parabola opens down and has 2 real zeros. 4.Vertex is (-1, -3) and the parabola opens up. The quadratic has __ solutions.

16. What are the solutions? Describe the domain and range.

19. Bellwork 9/2 3.Write the domain and range for the functions in #1 and #2 using interval notation.

21. Use quadratic equations to solve 1. Find two real numbers whose sum is -17, and their product is 72.

22. Bell work 9/3/14 XF(x)

23. Factoring review. Factor to solve.

24. You try. Solve by factoring.

26. 111 248 3927 41664 525125 636216 749343 864512 981729 101001000 11121

27. Bellwork 9/3/15

28. Solving quadratic equations with the square root property

33. Bellwork 9/4/15 (do not waste time writing the problem down)

34. Perfect square test

35. Write the Problems!!!

36. Converting to standard form

39. Solving quadratics by completing the square Steps for completing the square: 1.Put ()’s around the terms with x’s. 2.Factor out a. 3.Make room inside the ()’s 4.Take ½ of the b term and square it for the CTS term. 5.a times the new CTS term and change the sign for the rebalance number. 6.Factor the trinomial inside the ()’s

40. Solving quadratics by completing the square Steps for completing the square: 1.Put ()’s around the terms with x’s. 2.Factor out a. 3.Make room inside the ()’s 4.Take ½ of the b term and square it for the CTS term. 5.a times the new CTS term and change the sign for the rebalance number. 6.Factor the trinomial inside the ()’s

41. Fill in the blanks for CTS, and then solve.

42. CW # 9 Blue text book Page 304 (14-31)

43. Bellwork 9/19

44. Fill in the blanks for CTS, and then solve.

45. Complex Number

46. The Imaginary Unit

51. Complex Conjugates

52. We cannot leave i’s in the denominator. So, multiply the top and bottom of the fraction by the conjugate of the denominator to eliminate the imaginary part

55. Class Work#10 (due 9/22) #10 Page 311 (CTS) (25, 27, 33, 35, 37, 39) Honors #10 Page 311 (25-47 odd) Odd answers are in the back of the book. Check your answers before turning in. Must show work for credit.