1 / 10

MCR 3U SECTION 3.4 REFLECTIONS OF FUNCTIONS

MCR 3U SECTION 3.4 REFLECTIONS OF FUNCTIONS. Example 1 : Graph the functions and on a single grid. Example 2 : Graph the functions y = x 2 and y = -x 2. If y = f(x), what type of transformation is represented by functions of the form

kennedy-bell
Download Presentation

MCR 3U SECTION 3.4 REFLECTIONS OF 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. MCR 3USECTION 3.4 REFLECTIONS OF FUNCTIONS

  2. Example 1: Graph the functions and on a single grid

  3. Example 2 : Graph the functions y = x2 and y = -x2

  4. If y = f(x), what type of transformation is represented by functions of the form y = -f(x)

  5. In general, if y = f(x), then y = -f(x) represents a reflection in the x-axis

  6. Example 3: Graph the functions and on a single grid

  7. In general, if y = f(x), then y = f(-x) represents a reflection in the y-axis

  8. Invariant points are points that are unaltered by transformations

  9. Example 4: Given f(x) = x2 – 5x, find f(-x) and –f(x). Determine any invariant points between f(x) and f(-x) and between f(x) and –f(x) for invariant points Invariant point at (0,0)

  10. for invariant points Invariant points at (0,0) and (5,0)

More Related