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Unit 6 Quadratics Translating Graphs #2

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

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Unit 6 Quadratics Translating Graphs #2

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

  2. Example #1 Use the description to write the equation for the transformation of f(x) = x2 The parent function f(x) = x2 is translated 6 units up.

  3. Example #2 Use the description to write the equation for the transformation of f(x) = x2 The parent function f(x) = x2 is translated 4 units right.

  4. Example #3 Use the description to write the equation for the transformation of f(x) = x2 The parent function f(x) = x2 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 Vertex Form: Transformations: • Write the equation in vertex form; then describe the transformations. • Opens down • Narrow • Left 2 spaces • Down 1 space

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

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

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