Trashketball Unit 1 Quadratic Functions Trashketball 2 13
Trashketball Unit 1 Quadratic Functions
Trashketball 2 13 17 21 25 29 6 10 14 18 22 26 30 3 4 7 11 15 19 23 27 8 12 16 20 24 28 1 5 9
1 Find the product. (6 – 3 i) (4+ 2 i) =30
2 Find the solution(s) to the function graphed. x = -3, 4
3 Find the descriminant and describe the nature of the roots. (one real, two real, or two imaginary) 3 x 2 + 2 x – 1 = 0 = 16, two real
4 Give the value of the discriminant of the equation, describe the nature of the roots. (how many) 2 4 x + 2 x = -2 x - 1 = 0, one real root
5 Give the domain and range of the function in the table. x Y -2 4 -1 5 0 6 1 7 2 9 D: -2, -1, 0, 1, 2 R: 4, 5, 6, 7, 9
6 Find the rule of the series: 3 + 8 + 13 + 18. . a) ai = 5 i -2 b) ai = 5 i + 2 c) ai = 2 – 5 i d) ai = 5 – 2 i a.
7 Which relation is a quadratic function? a) (-2, 1), (-2, 3), (-2, 4), (-2, 5), (-2, 6) b) (-2, 6), (-1, 3), (0, 2), (1, 3), (2, 6) c) (-2, -3), (-1, -2), (0, -1), (1, 0), (2, 1) b.
8 Write the summation notation. 5 + 6 + 7 +… + 12
9 What is the conjugate of -4 + 3 i. -4 – 3 i
10 Simplify (4 -3 i)2. 7 – 24 i
11 Solve algebraically, graphically, and/or verbally to indicate understanding 4(x – 2 2) =2
12 Solve algebraically, graphically, and/or verbally to indicate understanding 2 x . + 8 x +7 x = -7, x = -1
13 Solve algebraically, graphically, and/or verbally to indicate understanding 2 3 x + 2 x – 1 = 0 x = 1/3 , x = -1
14 Solve algebraically, graphically, and/or verbally to indicate understanding x(x-2) = 16 X = 1 +√ 13, 1 - √ 13
15 Solve algebraically, graphically, and/or verbally to indicate understanding 3( x – 1)2 = 4
16 Solve algebraically, graphically, and/or verbally to indicate understanding 2 -3 x + 9 x = 4 X = 9 +√ 33, 9 - √ 33 6 6
17 Solve algebraically, graphically, and/or verbally to indicate understanding X 2 + 4 x = -3 X = -3, -1
18 Graph. Identify real or imaginary zeros, vertex, and axis of symmetry y= 2 2(x-2) -3 Vertex: ______ AOS: _______ (2, -3) X=2
19 Graph. Identify real or imaginary zeros, vertex, and axis of symmetry y = x 2 + - 6 x + 5 Vertex: ______ AOS: _______ Zeros _______ (3, -4) X=3 X= 1, x= 4
20 Simplify -4 + 13 i 10
21 Simplify -1 – 4 i 6
22 simplify 23 + 4 i
23 Find the rule then write in summation notation 4 + 8 + 12….
24 Solve by using the quadratic formula 2 x – 5 x = 4 X = 5 + √ 41, 5 - √ 41 2 2
25 Solve by using the quadratic formula 2 4 x + 10 x = -10 x - 25 -5/2
26 Find the discriminant and give the number of roots 2 5 x – 4 x + 1 = 3 x + 4 109, two real
27 Find the sum (-8 + 4 i) –(-1 +13 i) -4 – 9 i
28 Find the sum 6 –(-11 +9 i) 17 – 9 i
29 Find the product. (-8 +9 i)(-7 –i) 65 – 55 i
30 Graph 2(x -3) 2= 2
- Slides: 32