1 / 10

Unit 6 Quadratics Translating Graphs #2

This lesson delves into the transformations of quadratic functions, specifically focusing on how changes in parameters affect the graph of the parent function f(x) = x². Through a series of examples, students will learn to translate the function up, down, or sideways, and adjust its width through vertical stretches and compressions. Additionally, vertex form will be utilized to describe transformations, offering insight into how these changes alter the graph’s appearance. Key concepts include translations, reflections, and changes in concavity.

kimball
Télécharger la présentation

Unit 6 Quadratics Translating Graphs #2

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  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

More Related