Q1
12 Points
Consider the parabola y = −x2 − 4x + 8.
Q1.1
4 Points
Find the x-coordinate of the vertex.
-2
Q1.2
4 Points
Find the y -coordinate of the vertex.
12
Q1.3
2 Points
Does the vertex correspond to a maximum or a minimum value of the function?
Maximum
Minimum
Q1.4
2 Points
Is the graph of the function concave up or concave down?
Concave up
Concave down
, Q2
12 Points
Q2.1
8 Points
The quadratic equation x2 − 8x + 24 = 0 has two complex solutions. What are
they?
x = 2 + (4 2) i and x = 2 − (4 2) i
x = 4 + (2 2) i and x = 4 − (2 2) i
x = 4 + (4 2) i and x = −4 + (4 2) i
x = 4 + (2 2) i and x = −4 + (2 2) i
Q2.2
4 Points
The quadratic equation ax2 + bx + c has two complex solutions. One of them is
x = −1 − i. What is the other one?
1+i
1−i
−1 + i
−1 − i
There is not enough information to solve the problem
12 Points
Consider the parabola y = −x2 − 4x + 8.
Q1.1
4 Points
Find the x-coordinate of the vertex.
-2
Q1.2
4 Points
Find the y -coordinate of the vertex.
12
Q1.3
2 Points
Does the vertex correspond to a maximum or a minimum value of the function?
Maximum
Minimum
Q1.4
2 Points
Is the graph of the function concave up or concave down?
Concave up
Concave down
, Q2
12 Points
Q2.1
8 Points
The quadratic equation x2 − 8x + 24 = 0 has two complex solutions. What are
they?
x = 2 + (4 2) i and x = 2 − (4 2) i
x = 4 + (2 2) i and x = 4 − (2 2) i
x = 4 + (4 2) i and x = −4 + (4 2) i
x = 4 + (2 2) i and x = −4 + (2 2) i
Q2.2
4 Points
The quadratic equation ax2 + bx + c has two complex solutions. One of them is
x = −1 − i. What is the other one?
1+i
1−i
−1 + i
−1 − i
There is not enough information to solve the problem
