Name ________________________________
Algebra 2 – Chapter 5 (Part 1) Review
Write the equation of the parabola in vertex form.
1.
2.
6
2
5
1
4
-6
-5
-4
-3
-2
-1
1
3
-1
2
-2
1
-3
-1
1
2
3
4
5
2
-4
6
-1
-5
-2
-6
Write each function in vertex form. Sketch the graph of the function and label its vertex.
3. y = x2 – 2x – 3
4. y = -x2 + 2x + 2
-8
-6
-4
8
8
6
6
4
4
2
2
-2
2
4
6
8
-8
-6
-4
-2
2
-2
-2
-4
-4
-6
-6
-8
-8
4
6
8
Sketch a graph of the parabola with the given vertex through the given point.
5. vertex (0, 0), point (-3, 3)
6. vertex (1, 3), point (2, 6)
6
8
5
7
4
6
3
2
5
1
-6 -5 -4 -3 -2 -1
-1
4
1 2 3 4 5 6
3
-2
2
-3
1
-4
-5
-6
-3
-2
-1
1
-1
2
3
Graph each quadratic function. Identify the axis of symmetry and the coordinates of the vertex.
7. y = x2 – 7
8. y = x2 + 2x + 6
-8
-6
-4
8
8
6
6
4
4
2
2
-2
2
4
6
8
-8
-6
-4
-2
2
-2
-2
-4
-4
-6
-6
-8
-8
9a. Find a quadratic model for the attendance at
women’s college basketball games.
9b. What does your equation predict the
attendance will be in year 10?
Factor each quadratic equation.
10. x2 – 7x
11. x2 + 2x – 8
14. 3x2 – 14x + 8 = 0
Year
0
1
2
3
4
5
x
1
2
3
y
0
-3
-10
6
8
Attendance
(thousands)
4962
5234
6734
7387
8010
8698
12 2x2 + 7x – 9
13. x2 – 3x – 4
16. x2 – 9 = 0
15. x2 + 8x + 16 = 0
Using matrices, find a quadratic function that includes the values in each table.
17.
4
18.
x
-1
1
2
y
6
4
9
Algebra 2 – Answers Ch. 5 Review (Part 1)
1. y = 1(x – 3)2 – 1
2. y = -1(x + 3)2
9a. y = -25.5x2 + 917.8x + 4776.7
9b. 11,405
10. x(x – 7)
3. (1, -4)
y =1(x - 1) 2 + -4
11. (x + 4)(x – 2)
12. (x – 1)(2x + 9)
13. (x – 4)(x + 1)
4. (1, 3)
y =1(x - 1) 2 + 3
8
14.
2
3
15.
-4
,4
6
4
16. -3, 3
2
-9 -8 -7 -6 -5 -4 -3 -2 -1
1 2 3 4 5 6 7 8 9
-2
-4
-6
-8
5. (0,0) (-3,3) (3,3)
6. (1,3) (0,2) (2,2)
7. x = 0 (0, -7)
8
6
4
2
-9 -8 -7 -6 -5 -4 -3 -2 -1 1 2 3 4 5 6 7 8 9
-2
-4
-6
-8
8. x = -1 (-1,5)
8
6
4
2
-9 -8 -7 -6 -5 -4 -3 -2 -1 1 2 3 4 5 6 7 8 9
-2
-4
-6
-8