Grades 8-12 
Mathematics 
Algebra II 
Standard 9
Students demonstrate and explain the effect
changing a coefficient has on the graph of
quadratic functions, that is, students can
determine how the graph of a parabola
changes as a, b, and c vary in the
equation y = a(x - b)squared + c.

 

Resources
Lesson Plans
Assessments
Algebra 2 
An Integrated Approach,  Larson/Kanold/Stiff, 1995,  
D.C. Heath and Company 

Section References 

6.5 Transformations of  
Graphs of Functions 

9.1 Operations with Polynomials 

9.2 Graphs of Polynomials Functions 

9.3 Factoring Polynomials 
and Solving 

9.5 Finding Rational Zeros 

9.6 Connections: Zeros, Factors, and Solutions 

11.1 Parabolas 

14.2 Translations and Reflections of Graphs 

Software 
Green Globs and Graphing Equations, Wings for Learning/Sunburst Communications 
floppy mac 

CA Exit Exam Web Site 

http:/www.chspe.com/ 
download.html 

Specific Textbook  
Web Sites  

http://www.glencoe.com/ 
sec/math/prealg/mathnet/  

http://www.eduplace.com/ 
links/  

http://www.eduplace.com/  

http://www.hmco.com/ 
college/mathematics/ 
index.html  

http://www.mcdougallittell 
.com/  

http://www.hmco.com/  

http://www.SRA-4KIDS.com/  

General Math  
Reference Sites  

http://www.learner.org/ 
sami/view-category.php3 
?category=math  

http://www.score.k12.ca.us/  

http://henson.austin.apple 
.com/edres/curric.shtml  

http://school.discovery.com/ 
schrockguide/index.html  

http://www.EDsOasis.org/  

http://www.math.com/  

http://www.nea.org/grants/ 
free.html  

http://www.wcom.com/ 
marcopolo/  

http://www.udel.edu/sine/  

http://dewey.chs.chico.k12 
.ca.us/math.html  

Free Stuff  

http://www.nea.org/ 
grants/free.html  

State/National Math  
Ed Organizations  

http://www.nctm.org/  

http://www.cde.ca.gov/  

Calif. Dept. of Ed. Standards, Assessment, Ed. Reference.  

Calculator Reference Site  

http://www.ti.com/ 
calc/docs/calchome.html 

Previously Published Data 

1.) Have students use a graphing calculator to graph: y = x(x) y = x(x) + 2 (y-movement) y = x(x) - 2 y = (x - 2)(x - 2) (x-movement) y = (x + 2)(x + 2) one the same graph Students then use the graph with a different colored pencil and graph y = x(x), y = 1/2x(x), and y = (1/2x(x)) + 2 on the same graph. Using another colored pencil they should graph: y = 2x(x) y = 2x(x) + 2 y = 2x(x) - 2 y = 2(x - 2)(x - 2) and y = -2(x +2)(x + 2) on the same graph. (-2 flips the graph around) 

2.) Have students use a graphing calculator to trace the equation y = -x(x) - x + 2. 
3.) Have students explore the graphs above after they have plotted them on paper. 
Previously Published Data 

1.) Have students put the equation in the general form for a parabola, then graph y = -2x(x) + 8x + 3 

2.) On the same graph have them graph y = 1/3x(x) y = 1/3x(x) + 1 y = 1/3 (x +1)(x + 1) y = 3x(x) y = 3x(x) + 1 3(x + 1)(x + 1) 
3.) Students should recognize: What changes shift graph vertically and horizontally. What changes flip the graph around. What changes make the graph wide or skinny.