Exercise #7
Transformations


Transformation:




       Ex. Vertical shift


       Ex. Horizontal shift


We can sketch the graph once we know the “parent” function.

Example

       a) f ( x)   x2            OR      f ( x)


       b) f ( x)   x2 3          OR      f ( x) 3


                             2
       c) f ( x)       x 3       OR      f ( x 3)



Example
Explain the shifts of the graph f ( x)       sin x   1 .




Example
Given f ( x)  x 2 3 , graph:
      a) the parent function
       b) f ( x) 2
       c)   f ( x 1)

More Related Content

PDF
The Fundamental Theorem of Calculus
PDF
Exercise #9 notes
PDF
2.8A Function Operations
PPT
Lecture 7(b) derivative as a function
PDF
X2 T04 04 curve sketching - reciprocal functions
PDF
Lesson 3: Continuity
PDF
Day 2 examples
PDF
Day 2 examples
The Fundamental Theorem of Calculus
Exercise #9 notes
2.8A Function Operations
Lecture 7(b) derivative as a function
X2 T04 04 curve sketching - reciprocal functions
Lesson 3: Continuity
Day 2 examples
Day 2 examples

What's hot (19)

DOCX
Quinto Punto Parte B
PPTX
2.6 transformations
PDF
Bar plots.ipynb colaboratory
PPTX
Inverse function
KEY
「Frama-Cによるソースコード検証」 (mzp)
PDF
Day 1 examples 2
PPTX
PPT
Prgišče Lispa
KEY
ggplot2できれいなグラフ
DOCX
Primer Punto
PDF
Water jug
PDF
1988 FRQs AP Calculus
PDF
Day 1 examples u2f13
PDF
4.1 Inverse Functions
PDF
Unification and Anti-Unification Algorithm
PDF
Pc 1.7 notes
PDF
Derivatives Lesson Oct 14
PDF
Day 8 examples u1w14
Quinto Punto Parte B
2.6 transformations
Bar plots.ipynb colaboratory
Inverse function
「Frama-Cによるソースコード検証」 (mzp)
Day 1 examples 2
Prgišče Lispa
ggplot2できれいなグラフ
Primer Punto
Water jug
1988 FRQs AP Calculus
Day 1 examples u2f13
4.1 Inverse Functions
Unification and Anti-Unification Algorithm
Pc 1.7 notes
Derivatives Lesson Oct 14
Day 8 examples u1w14
Ad

Viewers also liked (17)

DOC
Cuenta confe ch extraordinario 27 9
PPTX
Comunidades virtuales de aprendizaje
PPTX
StreetArt: el genio francés MTO
PPT
Difficulties and Opportunities
PPTX
Team #4 our pres
PDF
WSRU Vermiculture Program: Manual of Operations
PPT
Keperluanguru 120725020736-phpapp02
PPTX
Uptc virus informatico
PPTX
Kurikulum & pembelajaran
PDF
Lesson 53
PDF
iXware & Ploeger
PPSX
Serv 102 chimdi lifestyle of ushering
PDF
Logosheet09
PDF
Virginie Brette CV
DOCX
Makalah logika matematika
DOCX
Cronograma de Actividades Geología - Paro
PDF
Comunicación educativa
Cuenta confe ch extraordinario 27 9
Comunidades virtuales de aprendizaje
StreetArt: el genio francés MTO
Difficulties and Opportunities
Team #4 our pres
WSRU Vermiculture Program: Manual of Operations
Keperluanguru 120725020736-phpapp02
Uptc virus informatico
Kurikulum & pembelajaran
Lesson 53
iXware & Ploeger
Serv 102 chimdi lifestyle of ushering
Logosheet09
Virginie Brette CV
Makalah logika matematika
Cronograma de Actividades Geología - Paro
Comunicación educativa
Ad

More from Kelly Scallion (20)

PDF
May 2011 schedule
PDF
Exercise #23
PDF
Exercise #21
PDF
Exercise #21
PDF
Exercise #22
PDF
Lesson 19 last two examples worked out
PDF
Exercise #19
PDF
Exercise #16 notes
PDF
Exercise #18 notes
PDF
Exercise #17 notes
PDF
Exercise #13 notes ~ graphing
PDF
Exercise #11 notes
PDF
Exercise #13 notes ~ equations
PDF
Exercise #15 notes
PDF
Exercise #14 notes
PDF
Exercise #8 notes
PDF
Exercise #10 notes
PDF
Statement and demand assignment
PDF
Statement and demand notes
PDF
Statement and demand forms
May 2011 schedule
Exercise #23
Exercise #21
Exercise #21
Exercise #22
Lesson 19 last two examples worked out
Exercise #19
Exercise #16 notes
Exercise #18 notes
Exercise #17 notes
Exercise #13 notes ~ graphing
Exercise #11 notes
Exercise #13 notes ~ equations
Exercise #15 notes
Exercise #14 notes
Exercise #8 notes
Exercise #10 notes
Statement and demand assignment
Statement and demand notes
Statement and demand forms

Recently uploaded (20)

PDF
NewMind AI Weekly Chronicles – August ’25 Week IV
PDF
5-Ways-AI-is-Revolutionizing-Telecom-Quality-Engineering.pdf
PDF
Auditboard EB SOX Playbook 2023 edition.
PDF
The AI Revolution in Customer Service - 2025
PPTX
Build automations faster and more reliably with UiPath ScreenPlay
PDF
Build Real-Time ML Apps with Python, Feast & NoSQL
PDF
Dell Pro Micro: Speed customer interactions, patient processing, and learning...
PDF
A hybrid framework for wild animal classification using fine-tuned DenseNet12...
PDF
SaaS reusability assessment using machine learning techniques
PDF
CXOs-Are-you-still-doing-manual-DevOps-in-the-age-of-AI.pdf
PDF
Electrocardiogram sequences data analytics and classification using unsupervi...
PDF
Transform-Your-Supply-Chain-with-AI-Driven-Quality-Engineering.pdf
PDF
Early detection and classification of bone marrow changes in lumbar vertebrae...
PDF
4 layer Arch & Reference Arch of IoT.pdf
PDF
Rapid Prototyping: A lecture on prototyping techniques for interface design
PDF
substrate PowerPoint Presentation basic one
PDF
The-Future-of-Automotive-Quality-is-Here-AI-Driven-Engineering.pdf
PPTX
Presentation - Principles of Instructional Design.pptx
PDF
Data Virtualization in Action: Scaling APIs and Apps with FME
PDF
Advancing precision in air quality forecasting through machine learning integ...
NewMind AI Weekly Chronicles – August ’25 Week IV
5-Ways-AI-is-Revolutionizing-Telecom-Quality-Engineering.pdf
Auditboard EB SOX Playbook 2023 edition.
The AI Revolution in Customer Service - 2025
Build automations faster and more reliably with UiPath ScreenPlay
Build Real-Time ML Apps with Python, Feast & NoSQL
Dell Pro Micro: Speed customer interactions, patient processing, and learning...
A hybrid framework for wild animal classification using fine-tuned DenseNet12...
SaaS reusability assessment using machine learning techniques
CXOs-Are-you-still-doing-manual-DevOps-in-the-age-of-AI.pdf
Electrocardiogram sequences data analytics and classification using unsupervi...
Transform-Your-Supply-Chain-with-AI-Driven-Quality-Engineering.pdf
Early detection and classification of bone marrow changes in lumbar vertebrae...
4 layer Arch & Reference Arch of IoT.pdf
Rapid Prototyping: A lecture on prototyping techniques for interface design
substrate PowerPoint Presentation basic one
The-Future-of-Automotive-Quality-is-Here-AI-Driven-Engineering.pdf
Presentation - Principles of Instructional Design.pptx
Data Virtualization in Action: Scaling APIs and Apps with FME
Advancing precision in air quality forecasting through machine learning integ...

Exercise #7 notes

  • 1. Exercise #7 Transformations Transformation: Ex. Vertical shift Ex. Horizontal shift We can sketch the graph once we know the “parent” function. Example a) f ( x) x2 OR f ( x) b) f ( x) x2 3 OR f ( x) 3 2 c) f ( x) x 3 OR f ( x 3) Example Explain the shifts of the graph f ( x) sin x 1 . Example Given f ( x) x 2 3 , graph: a) the parent function b) f ( x) 2 c) f ( x 1)