Consider the equation y = x2 + 3x – 4. Determine whether the function has a maximum or minimum value. State the maximum or minimum value. What are the domain and range of the function?
min (0,0) D: All Reals R: All Reals
max.;
(–1.5, –6.25) D:
{x | x
≤ –1.5} R: {y | y
≥ –6.25}
max.;
(0, 0) D: {all real numbers} R: {y | y
≤ 0}
min.;
(–1.5, –6.25) D: {all real numbers} R: {y | y
≥ –6.25}
2. Multiple Choice
15 minutes
1 pt
What is the equation of the axis of symmetry of the graph of y = x2 + 6x – 7?
x=6
x=-3
x=3
x=-6
3. Multiple Choice
15 minutes
1 pt
Find the coordinates of the vertex of the graph of y = -x2 + 4 .
(2,0)
(0,4)
(-2,0)
(2,4)
4. Multiple Choice
15 minutes
1 pt
What are the roots of the quadratic equation whose related function is graphed at the right?
-1, 3
-3, 1
-1, 1
1, 3
5. Multiple Choice
15 minutes
1 pt
One root of the quadratic equation whose related function is graphed lies between which two consecutive integers?
1 and 2
0 and -1
2 and 3
0 and 1
6. Multiple Choice
15 minutes
1 pt
Which equation corresponds to the graph shown?
y = x2 + 1
y = x2 - 1
y = -x2 + 1
y = (x - 1)2
7. Multiple Choice
15 minutes
1 pt
Describe how the graph of the function g(x) = –3x2 – 2 is related to the graph of the function f(x) = –3x.
reflected
over the x-axis and down 2 units
down
2 units
reflected
over the x-axis and up 2 units
up
2 units
8. Multiple Choice
15 minutes
1 pt
Find the value of c that makes x2 – 5x + c a perfect square trinomial
-12.25
-6.25
6.25
10
9. Multiple Choice
15 minutes
1 pt
Which value of c makes y2 + 8y + c a perfect square trinomial
4
16
64
8
10. Multiple Choice
15 minutes
1 pt
Which equation is equivalent to x2 + 2x – 3 = 0
(x+1)2=2
(x-1)2=4
(x-1)2=2
(x+1)2=4
11. Multiple Choice
15 minutes
1 pt
Solve the equation 2x2+ 3x – 5 = 0 using the Quadratic Formula
2.5 , 1
-5 , 1
-1 , 2.5
-1 , 5
12. Multiple Choice
15 minutes
1 pt
Determine the number of real solutions of n2 – 5n – 6 = 0. Hint: use the discriminant.
1 real solution
2 real solutions
3 real solutions
no real solutions
13. Multiple Choice
15 minutes
1 pt
If b2 – 4ac = 0, determine the number of real solutions of the equation ax2 + bx + c = 0