Download Algebra 1 Chapter 10 Test Name

Algebra 1
Chapter 10 Test
Name
Match each graph with its function.
__________ 1.
y = – 2x2 + 2
__________ 2.
y = – x2
__________ 3.
y = 2x2
__________ 4.
y = 3x2 – 4
Find the equation of the axis of symmetry and the coordinates of the vertex of the graph of each function.
5.
y = –4x2 + 3
6. y = x2 - 6x + 4
Axis of symmetry: _____________
Axis of symmetry: ______________
Vertex: ______________
Vertex: ______________
7. y = 3x2 + 6x + 5
Axis of symmetry: _______________
Vertex: _____________
For each of the following functions: a) label the axis of symmetry, b) label the vertex, c) make a table
d) graph the function.
8. y 
1 2
x 2
2
9. y  2 x 2  12 x  15
1
12
1
1
Solve each of the following equations by graphing:
10. y  x 2  2 x  3
1
11. y  2 x 2  8 x
1
1
Solution: _____________________
1
Solution: ______________________
Solve each equation by factoring or taking the square root. If the equation has no solution write no
solution.
12. 3 x 2  38  10
13. 2 x 2  20 x
Solution: ___________________________
Solution: __________________________
14. 2 x 2  5 x  12  0
15. x 2  7 x  12
Solution: __________________________
Solution: ___________________________
16. 2 x 2  60  20
17. 3 x 2  11x  4
Solution: ____________________________
Solution: ___________________________
Use the quadratic formula to solve each equation. If necessary, round to the nearest hundredth.
18. 6 x 2  7 x  2  0
19. 3x 2  4 x  1  0
Solution: _______________________________
Solution: _______________________________
20. The area of a soccer field is 5000 yd 2 . The length of the field is twice the width. Find the dimensions of
the field.
Answer: _______________________________
Bonus - Solve the following equation.
8 x3  12 x 2  18 x  27  0
Solution: ______________________________