1. 2.6 – Vertical and Horizontal Translations

2. Translating Functions
A translation is an operation that shifts a graph horizontally, vertically, or both. The results are a graph of the same size and shape, just in a different position

3. Y = |x + 2| – 3
Parent Function: the simplest function with the given characteristics
(-2 , -3)

4. Y = |x + 5| + 8
(-5 , 8)

5. Y = |x – 8| – 6
(8 , -6)

6. Y = |x – 7| + 4
(7 , 4)

7. Y = |x – 4| – 5
(4 , -5)

8. Y = |2x – 8| + 2
(4 , 2)

9. Y = |3x + 6| – 3
(-2 , -3)

10. Is there a formula for graphing absolute value equations???
Y = |x + 2| – 3
Y = |x + 5| + 8
Y = |x – 8| – 6
Y = |x – 7| + 4
Y = |x – 4| – 5
Y = |2x – 8| + 2
Y = |3x + 6| – 3
Y = |mx + b| + c
(-2 , -3)
(-5 , 8)
(8 , -6)
(7 , 4)
(4 , -5)
(4 , 2)
(- b/m , c)

11. What is the pattern? Y = |mx + b| + c
What does the m (slope) do to the graph?
(- b/m , c)