Name________________________________
Date__________ Period__________
Algebra 2 – Test Chapter 5 (Part 1) 5-1 to 5-5
1.
Write the equation of the parabola in vertex form.
a.
________________________________
b. ______________________________
6
6
5
5
4
4
3
3
2
2
1
-4
1
-3
-2
-1
1
2
3
4
-1
-6 -5 -4 -3 -2 -1
-2
1 2 3 4 5 6
-3
-1
Sketch a graph of the parabola with the given vertex through the given point.
2. vertex (1, 3); point (4,6)
3. vertex (-3,-2); point (1,2)
7
6
5
4
7
6
5
4
3
2
1
3
2
1
-7 -6 -5 -4 -3 -2 -1
-1
-2
-3
1
2 3
4 5
6 7
-7 -6 -5 -4 -3 -2 -1
-1
-2
-3
-4
-5
-6
-7
1
2 3
4 5
6 7
-4
-5
-6
-7
Graph each quadratic function. Identify the axis of symmetry and the coordinates of the vertex.
4. y  x 2  5
5. y  x 2  4 x  3
6. y   x 2  6 x  2
axis of sym: __________
axis of sym: __________
vertex: ___________
-10 -8
-6 -4
axis of sym: __________
vertex: ___________
vertex: ___________
10
10
10
8
8
8
6
6
6
4
4
4
2
2
2
-2
2
4
6
8 10
-10 -8
-6 -4
-2
2
4
6
8 10
-10 -8
-6 -4
-2
2
-2
-2
-2
-4
-4
-4
-6
-6
-6
-8
-8
-8
-10
-10
-10
4
6
8 10
Name________________________________
Date__________ Period__________
Graph each quadratic function. Identify the axis of symmetry and the coordinates of the vertex.
7.
y = (x – 5) 2
axis of sym: __________
axis of sym: __________
vertex: ___________
-10 -8
-6 -4
9. y = – (x - 4) 2 + 4
8. y = (x + 7) 2 - 4
axis of sym: __________
vertex: ___________
vertex: ___________
10
10
10
8
8
8
6
6
6
4
4
4
2
2
2
-2
2
4
6
8 10
-10 -8
-6 -4
-2
2
4
6
8 10
-10 -8
-6 -4
-2
2
-2
-2
-2
-4
-4
-4
-6
-6
-6
-8
-8
-8
-10
-10
-10
4
6
8 10
Solve each quadratic equation. Do not use the Quadratic Formula. (What Values of X make the equation = 0)
10. x 2  16  0
11. 3 x 2  48  0
Factor. (Do Not use the Quadratic Formula)
13. x2 + 3x – 28
14. x2 – 100
15. 5x2 + 4x – 12
16. 3x2 – 7x + -6
12. x 2  3 x  10  0
Name________________________________
Date__________ Period__________
Write each function in vertex form. Sketch the graph of the function and label its vertex.
17. y  x 2  4 x  4
18. y   x 2  4 x  1
vertex form: _________________________
vertex form: ________________________
vertex: _____________
vertex: _____________
-10 -8
-6 -4
10
10
8
8
6
6
4
4
2
2
-2
2
4
6
8 10
-10 -8
-6 -4
-2
2
-2
-2
-4
-4
-6
-6
-8
-8
-10
-10
4
6
8 10
Find a quadratic function that includes the values in the table using matrices. (Show your work!)
19.
20.
x
-2
1
5
y
-17
10
-10
x
0
1
2
y
3
-4
-9
22. For a model rocket, the altitude h, in meters, as a function of time t, in seconds, is given by h = 68t -4.9t2. Find
the maximum height of the rocket. How long dies it take to reach the maximum height?