1 / 13

Section 1.4 Transformations and Operations on Functions

Section 1.4 Transformations and Operations on Functions. Given the graph of the function f(x):. f(x) + c is a VERTICAL SHIFT of f(x) ‘c’ units f(x + c) is a HORIZONTAL SHIFT of f(x)…. If c > 0, graph shifts LEFT If c < 0, graph shifts RIGHT kf(x) results in….

Download Presentation

Section 1.4 Transformations and Operations on 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. Section 1.4 Transformations and Operations on Functions

  2. Given the graph of the function f(x): • f(x) + c is a VERTICAL SHIFT of f(x) ‘c’ units • f(x + c) is a HORIZONTAL SHIFT of f(x)…. • If c > 0, graph shifts LEFT • If c < 0, graph shifts RIGHT • kf(x) results in…. • If 0 < k < 1, a vertical compression • If k > 1, a vertical stretch • -f(x) results in a reflection of graph about the x-axis • f(-x) results in a reflection of graph about the y-axis

  3. Given the graph of f(x), graph f(x) + 2:

  4. Given the graph of f(x), graph f(x - 1):

  5. Given the graph of f(x), graph 2f(x) - 1:

  6. Given the graph of f(x) below, graph f(2x)

  7. Given the graph of f(x), graph f(x – 2) + 1

  8. Given the graph of f(x), graph |f(x)| + 1

  9. Given the graph of f(x), graph –f(x) – 2

  10. g(x) f(x)

  11. Composition Functions

More Related