1. Warm Up (3,2), (6,2) (5,6), (-2, -1) (-1, 2), (3, 5)
Write the equation of the line through the points:
(3,2), (6,2)
(5,6), (-2, -1)
(-1, 2), (3, 5)

2. Check Homework!

3. Check Homework!

4. 2-7 Day 1 Notes: Parent Functions
Agenda
Warm Up
Check Homework
2.7 Day 1 Notes

5. Parent Graphs :The parent graph, which is the graph of the parent function, is the simplest of the graphs in a family. Each graph in a family of graphs has similar characteristics.

6. Parent Functions Name Characteristics Parent Function
Constant Function
Straight horizontal line
y = a, where a is a real number
Linear Function
Straight diagonal line
Identify Function y = x
Absolute Value Function
Diagonal lines shaped like a V
y = |x|
Quadratic Function
Curved like a parabola
y = x2

7. Example 1 Identify the type of function represented by the graph.
a) b)

8. Flashback! My first day of kindergarten at Prairie Elementary in
Naperville!

9. Example 1 Identify the type of function represented by the graph.
c) d)

10. 2.7 Day 2 Notes: Transformations of Parent Functions
Agenda
Check Homework
2.7 Day 2 Notes
Transformations Foldable

11. Check Homework!

14. Transformations
Transformations: Transformations of a parent graph may appear in a different location, may flip over an axis, or may appear to have been stretched or compressed.

15. Types of Transformations Parent Graph: f(x)
Vertical Shift Up
Vertical Shift Down
Horizontal Shift Right
Horizontal Shift Left
Reflection of x-axis
Reflection over y-axis
Vertical Shrink
Vertical Stretch
Horizontal Stretch
Horizontal Shrink

16. Example 1
Describe the reflection in y = –|x|. Then graph the function.

17. Example 2 Describe the translation in the function
y = |x + 5|. Then graph the function.

18. Brain Break!
21!
21!
Face your partner with hands out, palms up. With your right hand, slap your partner’s left hand as you count. Each turn, you can count by 1 or by 2 only.
The objective is to NOT be the first person to get to 21.

19. Example 3
Describe the dilation in the function y = 5x Then graph the function.

20. Example 4
Describe the dilation in the function y = x Then graph the function.

21. Summarize!