1. WARM UP 3-2
Check the origin too!

2. Day 2 Warm Up

3. Group Warm-Up
On your big sheet of paper, show and explain how to test for all 5 types of symmetry using the tests from yesterday.
Finally, include a graph showing any axes of symmetry

4. Group Warm Up 5 TESTS Y-axis X-axis Origin Y=x Y=-x
Be neat & clear. Anyone walking into the room should be able to read and understand your poster.

5. Lesson Essential Questions… How do we transform graphs?
3-2 Families of Graphs
Lesson Essential Questions…
How do we transform graphs?
What are the different parent graphs that others are based on?
VOCABULARY
Parent graph
Reflection
Translation
Dilation

6. Families of Graphs
On graph paper, graph each of the following “parent” functions.
y=1 (constant)
y=x (linear)
y=x2 (quadratic)
y=x3 (cubic)
y= (square root)
y=|x| (absolute value)
y=[x] (greatest integer)
y=1/x (reciprocal)

7. Reflections (flips) How would you reflect y = across the y-axis
To reflect across y-axis, change (x) to (-x)
To reflect across x-axis, change (y) to (-y) AND simplify

8. Translations (shifts)
Translate y=x2 each of the following ways and write the equation:
2 up
3 down
1 right
4 left

9. Dilations (widen/narrow)
What would happen to the parent function y = |x| in each situation?
y=|3x|
y=|1/3x|

10. Dilations (widen/narrow)
What would happen to the parent function y = x2 in each situation?
y= 2 x2
y=1/2 x2

11. SUMMARY - Dilations Given: y = a*f(x) What happens when a > 1
Graph narrows
Graph widens
No change

12. Make Family Posters (page 139-140 in book)
y=1 (constant)
y=x (linear)
y=x2 (quadratic)
y=x3 (cubic)
y= (square root)
y=|x| (absolute value)
y=[x] (greatest integer)
y=1/x (reciprocal)