Algebra 2: Chapter 5 Test Review (Quadratic Functions)
Name: ____________________________________________
Period: _______
#1-2. State the vertex and axis of symmetry of the quadratic function, decide whether the parabola
opens up or down, and decide whether the parabola is wider or narrower than y = x2.
1. y = 3(x+2) 2 - 7
2. y = x2 - 10x + 36
Vertex: _______
A of S: _______
Opens Up/Down? ________
Wider/Narrower than y = x2? _______
Vertex: _______
A of S: _______
Opens Up/Down? ________
Wider/Narrower than y = x2? _______
3. Write a quadratic function in standard form that has zeros of -7i and 7i.
4. Write a quadratic function in standard form that has zeros of 9 and -2.
#5-8. Factor completely. If already simplified, write cannot be factored.
5. x3 – 4x2 – 45x
6. 40x2 - 28x - 48
7. x2 +81
8. 2x2 – 72
#9-11. Write the expression as a complex number in standard form.
9. (5 + 3i) – (2 – 9i)
10. (3 + 5i)(4 - 2i)
11.
3  5i
8  2i
#12-15. Solve the quadratic equation. Pay attention to the method restrictions on each question.
12. x2 + 7x = 0 Method: can’t use quadratic formula
13. 3x2 - 3x = -13 Method: must use quadratic formula
14. 8x2 + 81 = 0 Method: can’t use quadratic formula
15. 2x2 = -3x + 9 Method: can’t use quadratic formula
For #16-20, no partial credit will be given.
16. Use the function 𝑦 = 𝑎(𝑥 + 6)(2𝑥 − 14). What are the x-intercepts of the function's graph?
17. Simplify.
9348
20254
18. A rock is thrown from the top of a tall building. The distance, in feet, between the rock and the
ground t seconds after it is thrown is given by 𝑑 = −16𝑡 2 − 5𝑡 + 733. How long after the rock is
thrown is it 200 feet from the ground? (round your answer to the nearest hundredth, two decimal
places)
19. Sketch a graph of a quadratic function on the xy-axis below that is described.
One real solution
Two imaginary solutions
Two real solutions
20. Write a quadratic function in standard form that could represent the following graph.