Chapter 3: Transformations of Graphs and Data
Day
1
2
3
Subject Matter of the Day
 Lesson 3.1 Changing Windows
o Changing Windows (Ti – 83+)
o Zoom 6, Zoom Decimal
o Scaling to fit window
o Parent Functions
 Line, Square, Cubic, Step, Inverse, Inverse2
Square Root, Absolute Value, Exponential
o Asymptotes: Points of discontinuity
 Problems
Page Examples
1 20
164
 Lesson 3.2 The Graph Translation Theorem
o (x + h, y + k)
o y – k = (x – h)
o Translation is moving axis by h and k
 Problems
Page Examples
1 24
170
15,16,17
 Lesson 3.3 Translations of Data
o Add (h) to each data point
o Adds (h) to mean, median, and mode
o No Change: range, IQR, Variance, and Std. Deviation
 Problems
Page Examples
1 21
176
9,10
4
 Ms 3.1 to 3.3
5
 Lesson 3.4 Symmetries of Graphs
o
Even
Odd
f(x) = f(-x)
f(x) = -f(-x)
symmetry: Reflective
Rotational
based on (h,k) axis or line
center or point
 Problems
Page Examples
1 26
183
8,9,10
6
 More 3-4
7
 Lesson 3.5 The Graph Scale Change Theorem
o Point: S  ax ,by 
y  x
o Equation:   
b  a
y  k  x  h

o General

 a 
b
 Problems
Page Examples
1 22
191
8,9
8
 Lesson 3.6 Scale Change of Data
o Multiply by (a) to each data point
o Multiplies by (a) to Mean, Median, and Mode
o Multiplies by (a2) Variance
o Multiplies by a Std. Deviation, and Range
 Problems
Page Examples
1 22
198
11,12
9
 Ms 3.4 to 3.6
10
11
12
13
14
 Lesson 3.7 Composition of Functions
o f(g(x)) or f o g
o g(f(x)) or g o f
 Problems
Page Examples
1 27
205
8-12
 Lesson 3.8 Inverse Functions
o Horizontal line test
o Points or equations: (x,y) swap to (y, x)
o Reflection over line y = x
o PROOF if and only if (iff)
f(f-1(x)) = x
f-1(f(x)) = x
 Problems
Page Examples
1 25
212
11,12
 Ms 3.7 and 3.8


Chapter 3 Review
o Worksheet
Test Chapter 3
o Test corrections due two days later