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Chap5 Section2

Elementary and Intermediate Algebra: Graphs & Models (3rd Edition)

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Section 5.2 Vertex Form 453 Version: Fall 2007 5.2 Exercises In Exercises 1 - 8 , expand the binomial. 1. x + 4 5 2 2. x 4 5 2 3. ( x + 3) 2 4. ( x + 5) 2 5. ( x 7) 2 6. x 2 5 2 7. ( x 6) 2 8. x 5 2 2 In Exercises 9 - 16 , factor the perfect square trinomial. 9. x 2 6 5 x + 9 25 10. x 2 + 5 x + 25 4 11. x 2 12 x + 36 12. x 2 + 3 x + 9 4 13. x 2 + 12 x + 36 14. x 2 3 2 x + 9 16 15. x 2 + 18 x + 81 Copyrighted material. See: http://msenux.redwoods.edu/IntAlgText/ 1 16. x 2 + 10 x + 25 In Exercises 17 - 24 , transform the given quadratic function into vertex form f ( x ) = ( x h ) 2 + k by completing the square. 17. f ( x ) = x 2 x + 8 18. f ( x ) = x 2 + x 7 19. f ( x ) = x 2 5 x 4 20. f ( x ) = x 2 + 7 x 1 21. f ( x ) = x 2 + 2 x 6 22. f ( x ) = x 2 + 4 x + 8 23. f ( x ) = x 2 9 x + 3 24. f ( x ) = x 2 7 x + 8 In Exercises 25 - 32 , transform the given quadratic function into vertex form f ( x ) = a ( x h ) 2 + k by completing the square. 25. f ( x ) = 2 x 2 9 x 3 26. f ( x ) = 4 x 2 6 x + 1 27. f ( x ) = 5 x 2 + 5 x + 5 28. f ( x ) = 3 x 2 4 x 6 29. f ( x ) = 5 x 2 + 7 x 3 30. f ( x ) = 5 x 2 + 6 x + 4 31. f ( x ) = x 2 x + 4 32. f ( x ) = 3 x 2 6 x + 4
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454 Chapter 5 Quadratic Functions Version: Fall 2007 In Exercises 33 - 38 , find the vertex of the graph of the given quadratic func- tion. 33. f ( x ) = 2 x 2 + 5 x + 3 34. f ( x ) = x 2 + 5 x + 8 35. f ( x ) = 4 x 2 4 x + 1 36. f ( x ) = 5 x 2 + 7 x + 8 37. f ( x ) = 4 x 2 + 2 x + 8 38. f ( x ) = x 2 + x 7 In Exercises 39 - 44 , find the axis of sym-
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