✅ Pre-Assessment Quadratic Unit - Multiple Choice (35 Questions)
1. Identify the vertex of the graph. Tell whether it is a minimum or maximum. *
2 points
2. Which of the quadratic functions has the narrowest graph? *
2 points
3. If an object is dropped from a height of 39 feet, the function h(t) = −16t² + 39 gives the height of the object after t seconds. Graph the function. *
2 points
4. Find the equation of the axis of symmetry and the coordinates of the vertex of the graph of y = 4x² + 5x− 1 *
2 points
5. Graph f(x) = 2x² + 2x− 2. Label the axis of symmetry and vertex. *
2 points
6. Suppose you have 56 feet of fencing to enclose a rectangular dog pen. The function A = 28x− x², where x = width, gives you the area of the dog pen in square feet. What width gives you the maximum area? What is the maximum area? Round to the NEAREST TENTH as necessary. *
2 points
7. A ball is thrown into the air with an upward velocity of 48 ft/s. Its height h in feet after t seconds is given by the function h = −16t²+ 48t + 8. In how many seconds does the ball reach its maximum height? Round to the nearest hundredth if necessary. What is the ball’s maximum height? *
2 points
8. Solve x² + 2 = 6 by graphing the related function. *
2 points
Solve the following equations using square roots.
9. *
2 points
10. *
2 points
11. Solve (x − 8)(4x + 2) = 0 using the Zero Product Property. *
2 points
Solve the following equations by factoring.
12. *
2 points
13. *
2 points
14. *
2 points
15. The expression ax² − bx = 0 ________ has the solution x = 0. *
2 points
Solve the following equations by completing the square.
16. *
2 points
17. *
2 points
Use the Quadratic Formula to solve the following equations.
18. *
2 points
19. *
2 points
20. A rocket is launched from atop a 56-foot cliff with an initial velocity of 135 ft/s.Substitute the values into the vertical motion formula h = −16t² + vt + c. Let h = 0. Use the quadratic formula find out how long the rocket will take to hit the ground after it is launched. Round to the nearest tenth of a second. *
2 points
21. For which discriminant is the graph possible? *
2 points
Find the number of real solutions for the following equations.
22. *
2 points
23. *
2 points
Use the following functions to answer the next set of questions: f(x) = 3x − 2, g(x) = 3x² + 2x − 1, h(x) = 4x + 8 and k(x) = 2x² − x− 9
24. *
2 points
25. *
2 points
26. *
2 points
27. *
2 points
28. Find the inverse of the function: f(x) = x² − 4. Is the inverse a function? *
2 points
29. Find the inverse of the function. State the domain and range of the inverse. *
2 points
30. What transformation of the parent function, f(x) = x², is the function f(x) = −(x+2)²? *
2 points
31. Write a function that represents the parent function, y = x², after it has been translated 3 up and 2 right. *
2 points
32. What function models the graph below? *
2 points
33. What function models the graph below? *
2 points
34. Convert the following equation to vertex form, identify the vertex and the graph. *
2 points
35. Convert the following equation to factored form, identify the x-intercepts and the graph. *
2 points