Alg Review Test 4b

Name ________________________ Review Test 4b 1. Write a function in the following forms and describe the process to find the vertex for each form. Be as specific as possible in your description. Standard Form Vertex Form Intercept From f(x) = f(x) = f(x) =

Find the vertex and axis of symmetry for the following functions. Show work. 2. x2 + 8x + 9 3. 3x2 – 18x + 10

4. x2 + x – 5

5. 3x2 – 6x – 4

Solve by factoring. 6. x2 – 7x – 60 = 0

7. x2 + 13x + 40 = 0

8. x2 – 19x + 78 = 0

9. 4x2 + 41x + 45 = 0

Solve by completing the square. 10. x2 – 6x + 3 = 0

11. x2 + 8x – 10 = 0

12. x2 – 8x + 4 = 0

13. 5x2 + 20x – 60 = 0

Solve using the quadratic formula. 14. 2x2 – 7x – 30 = 0

15. x2 + 10x + 25 = 0

16. x2 + 4x + 10 = 0

17. 3x2 – 6x + 23 = 18

18. An object is launched straight up into the air. Its height in feet after t seconds is given by the equation h = -16t2 + 48t + 4. Answer the following: a) Find the elapsed time when the object hits the ground. b) Find the elapsed time when the object is 20 feet above the ground. c) Find the elapsed time when the object is 100 feet above the ground.

19. Find the length of each leg of the right triangle.