1 / 8

2.1 Symmetry

2.1 Symmetry. When a figure has line symmetry, it can be folded on its line of symmetry and the two have to coincide exactly There are 3 symmetries important in graphing. (–a, b). (a, b). (a, b). (a, b). (a, –b). (–a, –b). Typically can do two types of problems

saber
Download Presentation

2.1 Symmetry

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. 2.1 Symmetry

  2. When a figure has line symmetry, it can be folded on its line of symmetry and the two have to coincide exactly There are 3 symmetries important in graphing (–a, b) (a, b) (a, b) (a, b) (a, –b) (–a, –b)

  3. Typically can do two types of problems Ex 1) Given the point , determine coordinates of the point that satisfies specified symmetry. origin c) x-axis b) y-axis (a, b)  (–a, b) (a, b)  (–a, –b) (a, b)  (a, –b)

  4. Ex 2) Determine symmetry. Graph using the properties of symmetry. x-axis –y = x2 – 4 y = –x2 + 4 not equivalent y-axis y = (–x)2 – 4 y = x2 – 4 equivalent origin –y = (–x)2 – 4 –y = x2 – 4 not equivalent Choose only positive x’s & negative x’s will match

  5. Ex 3) Use graphing calculator to find symmetry. x = 2

  6. We can also have graphs symmetric to line y = x Test: switch x & y and get equivalent eqtn (x, y)  (y, x) Even Function If f (–x) = f (x) symmetric to y-axis Odd Function If f (–x) = – f (x) symmetric to origin

  7. Ex 4) Determine if function is even, odd or neither a) odd b) neither c) even

  8. Homework #201 Pg 61 #1–31 odd, 39, 41–46 all

More Related