1 / 19

Unit 1: Functions

Unit 1: Functions. Minds On. More Graphing!!! . Unit 1: Functions. Minds On. Graph the following functions: f(x) = x 2 g(x) = 3f(x) h(x) = -g(x). Unit 1: Functions. Lesson 7: Stretches, Compressions, and Putting it all Together. Learning Goals:

shalom
Download Presentation

Unit 1: Functions

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 1: Functions Minds On More Graphing!!! 

  2. Unit 1: Functions Minds On Graph the following functions: f(x) = x2 g(x) = 3f(x) h(x) = -g(x)

  3. Unit 1: Functions Lesson 7: Stretches, Compressions, and Putting it all Together • Learning Goals: • I can vertically stretch and compress a function. • I can horizontally stretch and compress a function. • I can transform a function using translations, reflections, and stretch and compressions.

  4. Unit 1: Functions Lesson 7: Stretches, Compressions, and Putting it all Together How does the value “a” in the function y = af(x) change the graph of f(x)? • When a > 1 f(x) is stretchedvertically by a factor of a • When 0 < a < 1, f(x) is compressedvertically by a factor a • AND • When a is negative, f(x) is ALSO reflected in the x-axis.

  5. Unit 1: Functions Lesson 7: Stretches, Compressions, and Putting it all Together Let’s look at y = f(kx) WARNING! This “k” is not the same as k in y = a(x-h)2 + k

  6. Unit 1: Functions Lesson 7: Stretches, Compressions, and Putting it all Together Graph the following functions: f(x) = x2 g(x) = f(3x)

  7. Unit 1: Functions Lesson 7: Stretches, Compressions, and Putting it all Together How does the value “k” in the function y = f(kx) change the graph of f(x)? • When k > 1 f(x) is compressed horizontally by a factor of • When 0 < k < 1, f(x) is stretched horizontally by a factor of • AND • When k is negative, f(x) is ALSO reflected in the y-axis.

  8. Unit 1: Functions Lesson 7: Stretches, Compressions, and Putting it all Together Given the graph of f(x), graph the indicated transformation

  9. Unit 1: Functions Lesson 7: Stretches, Compressions, and Putting it all Together Given the graph of f(x), graph the indicated transformation

  10. Unit 1: Functions Lesson 7: Stretches, Compressions, and Putting it all Together Given the graph of f(x), graph the indicated transformation

  11. Unit 1: Functions Lesson 7: Stretches, Compressions, and Putting it all Together Graph the following function: f(x) = -

  12. Unit 1: Functions Lesson 7: Stretches, Compressions, and Putting it all Together We need to apply transformations in a specific order: Reflections Stretches and/or compressions Translations

  13. Unit 1: Functions Lesson 7: Stretches, Compressions, and Putting it all Together Given the graph of f(x), graph the indicated transformations

  14. Unit 1: Functions Lesson 7: Stretches, Compressions, and Putting it all Together Given the graph of f(x), graph the indicated transformation

  15. Unit 1: Functions Lesson 7: Stretches, Compressions, and Putting it all Together Given the graph of f(x), graph the indicated transformation

  16. Unit 1: Functions Lesson 7: Stretches, Compressions, and Putting it all Together Given the graph of f(x), graph the indicated transformation

  17. Unit 1: Functions Lesson 7: Stretches, Compressions, and Putting it all Together Given the graph of f(x), graph the indicated transformation

  18. Unit 1: Functions Lesson 7: Stretches, Compressions, and Putting it all Together Sketch the graph of g(x)

  19. Unit 1: Functions Lesson 7: Stretches, Compressions, and Putting it all Together • Homework • Page 102 #12 • Page 111 #9be • Page 120 #4ce • Page 129 #1, 2, 3, 4, 7

More Related