september 27 th n.
Download
Skip this Video
Loading SlideShow in 5 Seconds..
September 27 th PowerPoint Presentation
Download Presentation
September 27 th

Loading in 2 Seconds...

play fullscreen
1 / 16
zarifa

September 27 th - PowerPoint PPT Presentation

223 Views
Download Presentation
September 27 th
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. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server.

- - - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - - -
Presentation Transcript

  1. Thursday, November 14th Warm-Up Write a new equation g(x) compared to f(x) = 1/2x + 2 Shift up 7 Shift left 4 September 27th

  2. Homework Answers

  3. What has changed?! F(x) G(x)

  4. Part II-Transformations Stretches & Compressions

  5. Stretches and compressions change the slope of a linear function. If the line becomes steeper, the function has been stretched vertically or compressed horizontally. 3. If the line becomes flatter, the function has been compressed vertically or stretched horizontally.

  6. Stretch vs. Compression • Stretches=pull away from y axis • Compression=pulled toward the y axis

  7. Horizontal vs. Vertical • Horizontal=x changes • Vertical=y changes

  8. Stretches and compressions are not congruent to the original graph. They will have different rates of change! Stretches and Compressions

  9. #1 Use a table to perform a horizontal stretch of the function y= f(x)by a factor of 3. Graph the function and the transformation on the same coordinate plane. Think: Horizontal(x changes) Stretch (away from y). Step 1: Make a table of x and y coordinates Step 2: Multiply each x-coordinate by 3. Step 3: Graph

  10. #2 Use a table to perform a vertical stretch of y = f(x) by a factor of 2. Graph the transformed function on the same coordinate plane as the original figure. Think: vertical(y changes) Stretch (away from y). Step 1: Make a table of x and y coordinates Step 2: Multiply each y-coordinate by 2. Step 3: Graph

  11. Helpful Hint • These don’t change! • y–intercepts in a horizontal stretch or compression • x–intercepts in a vertical stretch or compression

  12. Writing New Compressions and Stretches

  13. #1 .

  14. # 2

  15. # 3 Let g(x) be a horizontal stretch of f(x) = 6x -4 by a factor of 2 . Write the rule for g(x), and graph the function. .