1 / 6

12.6 Matrices & Transformations

12.6 Matrices & Transformations. Graphical transformations (reflections & rotations) can be interpreted using matrices.  new point. (point) general or specific.

trang
Download Presentation

12.6 Matrices & Transformations

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. 12.6 Matrices & Transformations

  2. Graphical transformations (reflections & rotations) can be interpreted using matrices.  new point (point) general or specific Def: A 2-by-2 transformation matrix is of the form and it maps each point P(x, y) to its image point P' (x', y') Reflection wrt the y-axis Reflection wrt the x-axis

  3. Ex 1) 2 Truths and a Lie Each of the following illustrates the transformation of a point. Find and fix the error. a) b) c) should be

  4. We can also use the transformation matrix with an equation. Ex 2) Find and graph the image of f (x) = x2 – x + 2 under Ty-axis. find There are also matrices that represent rotations. If you are asked to rotate ° We can apply a rotation transformation matrix as well as find out what rotation a combo of transformations is the same as.

  5. Ex 3) Find the image. Ex 4) Find the transformation formed by the indicated product. cosθ sinθ *you will do this in your homework Where does cosθ = 0 and sinθ = 1? at 90° so, equivalent to R90°

  6. Homework #1206 Pg 637 #3–15 odd, 19–23 all, 27, 31, 33, 38, 39

More Related