1. Warm-Up Evaluate each expression for x = -2. 1) (x – 6) 2 4 minutes 2) x 2 - 6 3) 7x 2 4) (7x) 2 5) -x 2 6) (-x) 2 7) -3x 2 - 18) -(3x – 1) 2

2. 2.7 A Preview of Transformations 2.7 A Preview of Transformations Objectives: Identify the transformation(s) from one function to another

3. Translation Graph Identify the translation. vertical translation 3 units down Graph Identify the translation. horizontal translation 2 units left

4. Vertical Stretch and Compression Graph Identify the transformation. vertical stretch by a factor of 3/2 Graph Identify the transformation. vertical compression by a factor of 2/3

5. Horizontal Stretch and Compression Graph Identify the transformation. horizontal compression by a factor of 2/3 Graph Identify the transformation. horizontal stretch by a factor of 3/2

6. Reflection Graph Identify the transformation. vertical reflection across the x-axis Graph Identify the transformation. horizontal reflection across the y-axis

7. Example 1 Graph f(x) = x 2 and g(x) = 3x 2 + 4. Identify the transformations from f to g. vertical translation 4 units up vertical stretch by a factor of 3

8. Example 2 Graph Identify the transformations from f to g. reflection across the x-axis horizontal translation 2 units right vertical translation 1 unit down

9. Practice 1) f(x) = x 2 and g(x) = 3(x – 1) 2 Graph each pair of functions, and identify the transformations from f to g. 2)

10. Homework study