Notes 3.2: Families of Graphs · 2017-09-30 · I. Families of Graphs-Families of graphs:-Parent...
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Notes 3.2: Families of Graphs In this lesson, you will: -identify transformations of simple graphs -sketch graphs of related functions
Transcript of Notes 3.2: Families of Graphs · 2017-09-30 · I. Families of Graphs-Families of graphs:-Parent...
Notes 3.2: Families of Graphs
In this lesson, you will:-identify transformations of simple graphs-sketch graphs of related functions
I. Families of Graphs
-Families of graphs:
-Parent graph:
A. Vocabulary
A basic graph that is transformed to create other members in a family of graphs.
A group of graphs that displays one or more similar characteristics
II. TransformationsA. Reflections and Functions: Examining –f(x) and f(-x)
1. –f(x)
More Examples
2. f(-x)
B. Translations and Functions: Examining f(x) and f(x + a)
1.f(x) = x3
f(x) = (x + 2)3
f(x) = (x – 2)3
f(x+a)
left
right
2. f(x) = x3
f(x) = x3 + 2f(x) = x3 - 2
C. Stretching and Compressing Functions: Examining f(ax) and a(fx)
1.
2.
III. Practice
Example 3:
