Algebra 2 TEST 1



Algebra 2 TEST 2.2 Review DO ON OWN PAPER!

I. Simplify. Make all exponents positive.

|1. [pic] |2. [pic] |3. [pic] |4. [pic] |

|5. [pic] |6. [pic] |7. [pic] |8. [pic] |

|9. [pic] |10. [pic] |11. [pic] |12. [pic] |

II. Scientific Notations

|13. Simplify. Leave final answer in scientific notation. |

|[pic] |

III. Estimate to the nearest hundredth.

|14. [pic] |

IV. Simplify. Leave answers exact. NO DECIMALS.

|15. [pic] |16. [pic] |17. [pic] |

V.Given the parent function [pic], write the equation that translates [pic] to have the given vertex.

|18. [pic] |19. [pic] |20. [pic] |21. [pic] |

VI. State the transformations from the parent function.

|22. [pic] |23. [pic] |

|24. [pic] |25. [pic] |

VII. Write the equation of [pic] and [pic] with the following transformations.

|26. [pic] translated right 2 and down 3 with a |27. [pic] with a vertical compression factor of |

|reflection across the [pic]-axis |[pic] and reflected across the [pic]-axis |

VIII. State the vertex for the following functions.

|28. [pic] |29. [pic] |30. [pic] |

|31. [pic] |32. [pic] |33. [pic] |

IX. Given [pic], find each of the following…

|34(a). the vertex |34(b). the axis of symmetry (equation) |34(c). the roots |

|34(d). the [pic]-intercept |34(e). Is the vertex a maximum or minimum? |34(f). What is the maximum or minimum value? |

X. Find the zeros (roots) by factoring.

|35. [pic] |36. [pic] |37. [pic] |

|38. [pic] |39. [pic] |40. [pic] |

XI. Write the equation in standard form of a quadratic with the given roots.

|41. –3 and 3 |42. 4 and –7 |43. –2 and –6 |

XII. Word Problem

|44. An object is projected directly upward from the ground. After [pic] seconds its distance in feet above the ground is [pic]. When does the object|

|reach its maximum height? What is the object’s maximum height above the ground? After how many seconds does the object strike the ground? |

XIII. Graph the following functions. Show points including transformations from the parent function. Then state the domain and the range.

|45. [pic] |46. [pic] |

Algebra 2 TEST 2.2 Review ANSWERS

1. [pic] 2. [pic] 3. [pic] 4. [pic] 5. [pic] 6. [pic] 7. [pic] 8. [pic] 9. [pic] 10. [pic] 11. [pic] 12. [pic] 13. [pic] 14. [pic] 15. [pic] 16. [pic] 17. [pic]

18. [pic] 19. [pic] 20. [pic] 21. [pic]

22. reflected across the x-axis and translated up 3 units

23. vertical stretch by a factor of 3 and translated to the right 2 units

24. translated down 2 units and to the left 5 units

25. vertical compression by factor of [pic], translated up 5 units and to the right 1 unit

26. [pic] 27. [pic] 28. [pic] 29. [pic] 30. [pic]

31. [pic] 32. [pic] 33. (-1,3) 34. a. [pic] b. [pic] c. [pic] d. [pic] e. max f. 9

35. [pic] 36. [pic] 37. [pic] 38. [pic] 39. [pic] 40. [pic]

41. [pic] 42. [pic] 43. [pic]

44. max height of 324 feet after 4.5 seconds; strikes the ground after 9 seconds

45. [pic] 46. [pic]

[pic] [pic]

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