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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