Name: Quadratics Test Review – HOMEWORK 1) Find the zeros of the function graphed below. x = ____________ 2) Rewrite y 5 ( x 3) ( x 4) in standard form. Where is the function above increasing? Where is the function above decreasing? What is the maximum value of the function? What is the minimum value of the function? Solve each of the following using the indicated method. Show ALL work! __________ 3) By Taking Square root: 2x2 – 3 = 13 __________ 4) By factoring: 9x2 – 4 = 0 __________5) By Completing the square: x2 – 12x + 32 = 0 __________6) By Graphing: 1 2 x +4=0 2 __________ 7) By Quadratic Formula: x2 = 3x - 9 Factor. (Remember to factor out the GCF first. One of these is prime.) 8. 9x2 - 64 9. x2 + 125 10. 2p2 + 5p + 3 20. 3r2 + 10r + 8 21. w2 - 6w + 9 22. 2x2 – 2x - 60 Graph without a calculator. Be able to identify all items for each equation. direction of the parabola 1 (x + 4)2 + 1 2 direction of the parabola direction of the parabola vertex vertex vertex axis of symmetry axis of symmetry axis of symmetry standard or dilation Is the vertex a max/min. standard or dilation Is the vertex a max/min. standard or dilation Is the vertex a max/min. 23. y = 2x2 + 4x – 5 24. y = y 25. y = -(x - 1)(x – 5) y y x x x 26. Use the discriminant to describe the number and type of solutions. 2x2 + 5x - 12 = 0 Discriminant: ______ Number and Type: _________________ 27. Use the discriminant to describe the number and type of solutions. -x2 + 6x - 9 = 0 Discriminant: ______ Number and Type: _________________ Simplify the expression without a calculator. 30. 46 5 31. 33. 12 10i 2 34. 2 6i 7 4 48 32. 35. 5 15 2 10 104 Solve using the indicated method to the right. 36. Find the solutions of x2 – 4x – 5 = 0 Completing the Square Zero Product Property (Factoring) 37. Find the roots of x2 - 10x = -5 Quadratic Formula Completing the Square Simplify the following: 38. 39. 24 42. 6i (1 3i ) 45. 36x 2 y 4 48. (3ab ) 2 2 24 43. (2 4i )(1 3i) 46. 36x 3 y 4 2 2 49. (3ab ) 40. 24 54 41. 16 1 2 44. (2 3)(1 2 3) 47. 36x3 y 5 50. (2 x) 4 51. 2x 4