Chapter 5: Exercises with Solutions

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

This preview shows pages 1–3. Sign up to view the full content.

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
434 Chapter 5 Quadratic Functions Version: Fall 2007 17. f ( x ) = - 7 8 x + 1 4 2 + 2 3 18. f ( x ) = - 1 2 x - 3 8 2 - 5 7 19. f ( x ) = - 2 9 x + 2 3 2 - 4 5 20. f ( x ) = - 7( x + 3) 2 + 9 21. f ( x ) = - 8 7 x + 2 9 2 + 6 5 22. f ( x ) = 3( x + 3) 2 + 6 In Exercises 23 - 36 , perform each of the following tasks for the given quadratic function. i. Set up a coordinate system on graph paper. Label and scale each axis. ii. Plot the vertex of the parabola and label it with its coordinates. iii. Draw the axis of symmetry and label it with its equation. iv. Set up a table near your coordinate system that contains exact coordinates of two points on either side of the axis of symmetry. Plot them on your co- ordinate system and their “mirror im- ages” across the axis of symmetry. v. Sketch the parabola and label it with its equation. vi. Use interval notation to describe both the domain and range of the quadratic function. 23. f ( x ) = ( x + 2) 2 - 3 24. f ( x ) = ( x - 3) 2 - 4 25. f ( x ) = - ( x - 2) 2 + 5 26. f ( x ) = - ( x + 4) 2 + 4 27. f ( x ) = ( x - 3) 2 28. f ( x ) = - ( x + 2) 2 29. f ( x ) = - x 2 + 7 30. f ( x ) = - x 2 + 7 31. f ( x ) = 2( x - 1) 2 - 6 32. f ( x ) = - 2( x + 1) 2 + 5 33. f ( x ) = - 1 2 ( x + 1) 2 + 5 34. f ( x ) = 1 2 ( x - 3) 2 - 6 35. f ( x ) = 2( x - 5 / 2) 2 - 15 / 2 36. f ( x ) = - 3( x + 7 / 2) 2 + 15 / 4 In Exercises 37 - 44 , write the given qua- dratic function on your homework pa- per, then use set-builder and interval no- tation to describe the domain and the range of the function.
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

### What students are saying

• As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

Kiran Temple University Fox School of Business ‘17, Course Hero Intern

• I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

Dana University of Pennsylvania ‘17, Course Hero Intern

• The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

Jill Tulane University ‘16, Course Hero Intern