Algebra 1
Chapter 10 – Graphing Quadratics
Name ____________________________
Period ___________ Date ____________
Section 1: Graphs of Parabolas .
For each of the following functions: a) make a table, b) graph the function, c) label the axis of symmetry d) label the vertex.
1. y = 4 x
2
– 8
1
1
2. y

1
3 x
2 
4
1
1
Section 2: Describing parabolas. 1) Wide or narrow or regular? 2) Opening up or down? 3) Vertex a max or min?
3. y

2 x
2
4. y
  x
2 
3 x

5 5.

1
2 x 2 
8

Section 3: Quadratics and their graphs.
Match the correct graph with its equation by placing the correct letter in the slot provided.
6. _______ y

2 x
2 a.
7. _______ y
 
1
2 x
2
8. _______ y
 x
2 
2 b.
c.
9. _______ y
 x
2 
2 d.
10. _______ y
  x
2 
2 e.
Section 4: Solving Quadratic Equations by square roots –
Solve each quadratic equation for x. Give both solutions or write “no solution” if needed.
11. x
2
= 81 12. 2x
2
– 8 = 0 13. 3x
2
+ 15 = 0

Section 5: Solving Quadratic Equations the zero-product property/factoring–
Solve each quadratic equation for x. Give both solutions.
14. x
2
– 5x – 36 = 0 15. 2x
2
– x -12 = 0 16. 5x
2
+ 10x = 0
Section 6: Solving Quadratic Equations– (square roots or factoring)
Choose the best method to solve each quadratic equation.
You do NOT need to solve for x! Just tell which method you would use and WHY you chose it!
17. 5x 2 – 2x – 7 = 0 18. 2x 2 – 72 = 0 19. x 2 – 4x + 4 = 0
Section 7: Solve each quadratic by graphing. (Label the vertex and the axis of symmetry)
20. y

1
2 x
2 
8
Solution: _______________________________
21. y
 x
2 
8 x

15
Solution: _________________________________