1 / 10

Shifting a Function’s Graph

Shifting a Function’s Graph. Lesson 5.1. Tools for Exploration. Consider the function f(x) = 0.1(x 3 – 9x 2 ) Enter this function into your calculator on the y= screen Set the window to be  -10 < x < 10   and   -20 < y < 20 Graph the function. Shifting the Graph.

Download Presentation

Shifting a Function’s Graph

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. Shifting a Function’s Graph Lesson 5.1

  2. Tools for Exploration • Consider the function f(x) = 0.1(x3 – 9x2) • Enter this function into your calculator on the y= screen • Set the window to be  -10 < x < 10   and   -20 < y < 20 • Graph the function

  3. Shifting the Graph • Enter the following function calls of our original function on the y= screen: • y1=  0.1 (x3 - 9x2)  • y2=   y1(x + 2)  • y3=   y1(x) + 2 • Before you graph the other two lines, predict what you think will be the result. Use different styles for each of the functions

  4. Shifting the Graph • How close wereyour predictions? • Try these functions – again, predict results • y1=  0.1 (x3 - 9x2)  • y2=   y1(x - 2)  • y3=   y1(x) - 2

  5. Which Way Will You Shift?  Matching -- match the letter of the list on the right with the function on the left.

  6. Which Way Will It Shift?  • It is possible to combine more than one of the transformations in one function: • What is the result of graphing this transformation of our function, f(x)? f(x - 3) + 5

  7. Make It Shift • It has been moved to the right 3 and up 5 • Now what would you do if you wanted to move the graph down 4 units and left 7 units?

  8. Make It Shift • To move the graph down 4 units and left 7 units use the transformation f(x + 7) - 4

  9. Numerical Results • Given the functiondefined by a table • Determine the value of the following transformations

  10. Assignment • Lesson 5.1 • Page 200 • Exercises 1 – 41 odd

More Related