1. Do Now: Graph the point and its image in a coordinate plane.
1. P -5, 3; reflected in the y -axis
2. Q -4, -3; reflected in the x -axis

2. 1.1/1.2 Transformations of Linear Functions
Objective: To understand Function Families and how transformations effect them.

3. Transformations
Function Family: group of functions with similar characteristics
Parent Function: most basic function in a family
Transformation: changes the size, shape, position, or orientation of a graph.
Translations
Reflections
Stretches
Shrinks

4. Parent Functions you should recognize

5. Translations
Transformation that shifts a graph horizontally or vertically.
The size, shape, or orientation are NOT changed.

6. Horizontal and Vertical Translations

7. Example 1 Let 𝑓 𝑥 =2𝑥−1 Graph 𝑔(𝑥)=𝑓(𝑥)+3 Graph h(𝑥)=𝑓 (𝑥+3)
Describe the transformations

8. Reflections
Transformation that flips a graph over a line called the line of reflection.

9. Example 2 Let 𝑓 𝑥 = 1 2 𝑥+1 Graph 𝑔 𝑥 =−𝑓(𝑥) Graph ℎ 𝑥 =𝑓(−𝑥)
Describe the transformations

10. Stretches and Shrinks Vertical Shrink ( 0 < a < 1)
Shrinks towards the x-axis
Vertical Stretch (a > 1)
Stretches away from the x-axis

11. Stretch and Shrink

12. Example 3 Let 𝑓 𝑥 =𝑥−1 Graph 𝑔 𝑥 = 1 3 𝑓 𝑥 Graph ℎ 𝑥 =3𝑓 𝑥
Describe the transformations.

13. Homework Textbook Pages 16-17 3, 6, 9, 11, 16, 17, 18 Class contract
Summer assignment