Algebra 2 TEST 1



Algebra 2 TEST 3.1 Review DO ON OWN PAPER!

Calculator Portion:

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

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

II. State the transformations from the parent function.

|5. [pic] |6. [pic] |

|7. [pic] |8. [pic] |

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

|9. [pic] translated right 2 and down 3 with a |10. [pic] with a horizontal stretch factor of 3 |11. [pic] with a vertical compression factor of |

|reflection across the [pic]-axis |and translated up 4 |[pic] and reflected across the [pic]-axis |

V. State the vertex for the following functions.

|12. [pic] |13. [pic] |14. [pic] |

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

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

|18(a). the vertex |18(b). the axis of symmetry (equation) |18(c). the roots |

|18(d). the [pic]-intercept |18(e). Is the vertex a maximum or minimum? |18(f). What is the maximum or minimum value? |

VII. Find the zeros (roots) by factoring.

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

|22. [pic] |23. [pic] |24. [pic] |

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

|25. –3 and 3 |26. 4 and –7 |27. –2 and –6 |

IX. Word Problem

|28. 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? |

Non-Calculator Portion:

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

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

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

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