1. Goal: I can infer how the change in parameters transforms the graph. (F-BF.3) Unit 6 Quadratics Translating Graphs #2

2. Example #1 Use the description to write the equation for the transformation of f(x) = x 2 The parent function f(x) = x 2 is translated 6 units up.

3. Example #2 Use the description to write the equation for the transformation of f(x) = x 2 The parent function f(x) = x 2 is translated 4 units right.

4. Example #3 Use the description to write the equation for the transformation of f(x) = x 2 The parent function f(x) = x 2 is narrowed by a factor of 3 and translated 5 units up.

5. Example #4 How would the graph of be affected if the function were changed to ? The parabola would be wider. The parabola would be shifted up 5 units.

6. Example #5 How would the graph of be affected if the function were changed to ? The parabola would be open down. The parabola would be wider. The parabola would be shifted down 3 units.

7. Example #6 How would the graph of be affected if the function were changed to ? The parabola would be open up. The parabola would be more narrow. The parabola would be shifted down 4 units.

8. Example #7 Write the equation in vertex form; then describe the transformations. Vertex Form:Transformations: Opens down Narrow Left 2 spaces Down 1 space

9. Example #8 Write the equation in vertex form; then describe the transformations. Vertex Form:Transformations: Left 5 spaces Down 5 spaces

10. Example #9 Write the equation in vertex form; then describe the transformations. Vertex Form:Transformations: Opens down Narrow Left 4 spaces