Chapter 2 Section 6
Families of Functions
Algebra 2 Notes
January 20, 2009
Graphing Absolute Value
Using Your Calculator

Refer to your “Families of Functions” worksheet to
complete the following problem:
Graph the following three equations on your graphing
calculator. Sketch the graphs in your notes.
Vocabulary Words
 Family
of Functions: a group of
functions all with common
characteristics
 Parent
Function: the original, or
simplest, function with these
characteristics. The vertex of a
parent function is at (0, 0)
Vocabulary Words

Transformation: the change of a parent
function
1. Translation: Shifts a graph horizontally, vertically, or
both. Is the same shape and same size of the parent graph
but in a different position
2. Vertical Stretch: multiplies all y-values by the same
factor greater than 1, thereby stretching the graph
vertically
3. Vertical Shrink: Multiplies all y-values by the same
factor between 0 and 1, thereby compressing the graph
vertically
4. Reflection: Across the x-axis – changes all y-values to
their opposites. Across the y-axis – changes all x-values
to their opposites
Transformations Worksheet

Work in groups of NO MORE THAN 4
◦ Each of you will fill out your own worksheet
to turn in

Work on the worksheet with your group
members.
◦ Try to work the problems together before
coming to me for help

Due at the end of the class period!
Homework #9
Pg 97 #3-6, 12, 13, 17, 20, 29,
30, 35, 36, 44, 45
CHAPTER 2 TEST ON FRIDAY!!