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Unformatted text preview: Section 5.4 The Quadratic Formula 497 Version: Fall 2007 5.4 Exercises In Exercises 1 8 , find all real solutions of the given equation. Use a calculator to approximate the answers, correct to the nearest hundredth (two decimal places). 1. x 2 = 36 2. x 2 = 81 3. x 2 = 17 4. x 2 = 13 5. x 2 = 0 6. x 2 = − 18 7. x 2 = − 12 8. x 2 = 3 In Exercises 9 16 , find all real solutions of the given equation. Use a calculator to approximate your answers to the nearest hundredth. 9. ( x − 1) 2 = 25 10. ( x + 3) 2 = 9 11. ( x + 2) 2 = 0 12. ( x − 3) 2 = − 9 13. ( x + 6) 2 = − 81 14. ( x + 7) 2 = 10 15. ( x − 8) 2 = 15 16. ( x + 10) 2 = 37 Copyrighted material. See: http://msenux.redwoods.edu/IntAlgText/ 1 In Exercises 17 28 , perform each of the following tasks for the given quadratic function. i. Set up a coordinate system on a sheet of graph paper. Label and scale each axis. Remember to draw all lines with a ruler. ii. Place the quadratic function in ver tex form. Plot the vertex on your co ordinate system and label it with its coordinates. Draw the axis of sym metry on your coordinate system and label it with its equation. iii. Use the quadratic formula to find the xintercepts of the parabola. Use a calculator to approximate each inter cept, correct to the nearest tenth, and use these approximations to plot the xintercepts on your coordinate sys tem. However, label each xintercept with its exact coordinates. iv. Plot the yintercept on your coordi nate system and its mirror image across the axis of symmetry and label each with their coordinates. v. Using all of the information on your coordinate system, draw the graph of the parabola, then label it with the vertex form of the function. Use in terval notation to state the domain and range of the quadratic function. 17. f ( x ) = x 2 − 4 x − 8 18. f ( x ) = x 2 + 6 x − 1 19. f ( x ) = x 2 + 6 x − 3 20. f ( x ) = x 2 − 8 x + 1 21. f ( x ) = − x 2 + 2 x + 10 498 Chapter 5 Quadratic Functions Version: Fall 2007 22. f ( x ) = − x 2 − 8 x − 8 23. f ( x ) = − x 2 − 8 x − 9 24. f ( x ) = − x 2 + 10 x − 20 25. f ( x ) = 2 x 2 − 20 x + 40 26. f ( x ) = 2 x 2 − 16 x + 12 27. f ( x ) = − 2 x 2 + 16 x + 8 28. f ( x ) = − 2 x 2 − 24 x − 52 In Exercises 29 32 , perform each of the following tasks for the given quadratic equation.equation....
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 Quadratic equation, real solutions

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