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2.6 Transformations of Graphs

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This document covers all the essential graph transformations you need to know, including: key rules for reflections, translations (horizontal and vertical shifts), and stretches/shrinks (both vertical and horizontal). It explains how changes inside vs. outside the function affect the graph and summarizes the core formulas for quick reference. Perfect for fast review or exam prep!

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Uploaded on
May 1, 2025
Number of pages
3
Written in
2024/2025
Type
Class notes
Professor(s)
Aguirre
Contains
All classes

Content preview

. L
2


Transformations
of graphy
of function
changes to the formula a



changes to the
graph of a function

Shapes are I

similar

can be obtained
in formula
by changes
XI x2 ) (X 2)2
=
"3(X 2)2 + 7
-

-




=> "3(x 2)2 -




) /z(X 2)2 + 7
= -




"Basic Graphs"

in
M T N - T



[



~



rx
y (x)
k x3
y X2 3x
=
(x y
y X
y y
= = = = =

y
=

y
=




Reflections typically associated w/ *
signs . . .




y f(x)
=
inside outside
sign sign on on


f( x) i Y f(x)
E-
y
=

= -
=
-




reflects y-axis reflexs X-axis




~ reflect on
X-axis
reflect
y-axis
on
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