1. Unit 3
Functions

2. 4.5
Graph Transformation

3. Group Work: Exploration:
Fill in tables and sketch the graphs for your handout

4. Graph Transformation Key – memorize the points Dilations
Cause the graph to be “fatter” or “flatter”
Reflections
Across x/y axis
Translations
Moving the graph left/right or up/down

5. A – Reflections/Dilations
x-axis: h(x) = -f(x) – very common
y-axis: h(x) = f(-x) – uncommon
Dilations
y = cf(x)
Multiply all y coordinates by c (takes care of dilations and x-axis reflections

6. B - Translations
f(x) ± c
+c up
-c down
f(x ± c)
+c left
-c right

7. Graph Transformation:?

8. Graph Transformation:? ?

9. Describe the translation/sketch the graph:

10. And even more fun:

11. Homework
Page 256: 2 – 8 even, odd, 26, 30