MAT129 Fall 2024 Notes

M September 23	Topics:	3.5	Notes:	09.23a, 09.23b, 09.23c, 09.23d
3.5 - Transformation of Functions - Graphing functions; Shifting, Reflecting, Stretching and Shrinking graphs, pg. 222,  Learning Objectives
	* Graph functions using vertical and horizontal shifts.
	* Graph functions using reflections about the x-axis and the y-axis.
	* Determine whether a function is even, odd, or neither from its graph.
	* Graph functions using comp

• Curve Shifting because of Addition & Subtraction of Functions
• Stretching & Shriking because of dilation by a constant
• parentFX gsp   -- function "manipulatives"
• parentFX2 gsp   -- revised function "manipulatives"
• Children of the parents created by translation/shifting, reflection/multiplication by a negative
  * Curve Shifting because of Addition & Subtraction
        * see https://www.mathnstuff.com/math/spoken/here/2class/300/fx/shift.htm (shift)
  * The Creation of New Functions -- Composition
        * see https://www.mathnstuff.com/math/spoken/here/2class/300/fx/comp.htm (compose)
  * Summary of some curve shifting, reflections, and other composition as in y = af(bx-c)+d
        * see https://www.mathnstuff.com/math/spoken/here/2class/300/fx/kid.fx.sp24/children.pdf
  * Who Has Games & Connect-the-Dots
        * Function Curve Shifting Who Has? (Translations, Rotations, Reflections, Dilations)
              * see https://www.mathnstuff.com/papers/games/whohas/shift.htm
• Who Has? Curve Shift
• Math Exercises -- whole body graphing

© 9/2/2024, A2 http://www.mathnstuff.com/math/precalc/129/M.09.23.htm