Name:
Quadratics Test Review – HOMEWORK
1) Find the zeros of the function graphed below.
x = ____________
2) Rewrite y   5 ( x  3) ( x  4) in standard form.
Where is the function above increasing?
Where is the function above decreasing?
What is the maximum value of the function?
What is the minimum value of the function?
Solve each of the following using the indicated method. Show ALL work!
__________ 3) By Taking Square root:
2x2 – 3 = 13
__________ 4) By factoring: 9x2 – 4 = 0
__________5) By Completing the square: x2 – 12x + 32 = 0
__________6) By Graphing:
1 2
x +4=0
2
__________ 7) By Quadratic Formula: x2 = 3x - 9
Factor. (Remember to factor out the GCF first. One of these is prime.)
8. 9x2 - 64
9. x2 + 125
10. 2p2 + 5p + 3
20. 3r2 + 10r + 8
21. w2 - 6w + 9
22.
2x2 – 2x - 60
Graph without a calculator. Be able to identify all items for each equation.
direction of the parabola
1
(x + 4)2 + 1
2
direction of the parabola
direction of the parabola
vertex
vertex
vertex
axis of symmetry
axis of symmetry
axis of symmetry
standard or dilation
Is the vertex a max/min.
standard or dilation
Is the vertex a max/min.
standard or dilation
Is the vertex a max/min.
23. y = 2x2 + 4x – 5
24. y =
 y
    
25. y = -(x - 1)(x – 5)
 y
 y












x





    


x





    













x


26. Use the discriminant to describe the number and type of solutions.
2x2 + 5x - 12 = 0
Discriminant: ______
Number and Type: _________________



27. Use the discriminant to describe the number and type of solutions.
-x2 + 6x - 9 = 0
Discriminant: ______
Number and Type: _________________
Simplify the expression without a calculator.
30.
46
5
31.
33.
12  10i
2
34.
2  6i 7
4
48
32.
35.
5  15 2
10
104
Solve using the indicated method to the right.
36. Find the solutions
of x2 – 4x – 5 = 0
Completing the Square
Zero Product Property (Factoring)
37. Find the roots of
x2 - 10x = -5
Quadratic Formula
Completing the Square
Simplify the following:
38.
39.
24
42. 6i (1  3i )
45.
36x 2 y 4
48. (3ab )
2 2
24
43. (2  4i )(1  3i)
46.
36x 3 y 4
2 2
49. (3ab )
40.
24  54
41. 16

1
2
44. (2  3)(1  2 3)
47.
36x3 y 5
50. (2 x)
4
51. 2x 4