Parent Functions and Transformations (Algebra 2 - Unit 3) | All Things Algebra®
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Description
The purpose of this unit is to provide the foundation for the parent functions, with a particular focus on the linear, absolute value, and quadratic function families. A chart is provided with all the parent functions that can be used throughout future units. This Parent Functions and Transformations Unit Bundle includes guided notes, homework assignments, three quizzes, a study guide and a unit test that cover the following topics:
• Piecewise Functions
• Graphing Absolute Value Functions and Inequalities by Table
• Parent Functions
• Transformations
• Vertex Form of an Absolute Value Equation; Graphing using Transformations
• Quadratic Functions Review: Parts of the Parabola, Axis of Symmetry, Vertex, Minimum, Maximum
• Graphing Quadratic Equations and Inequalities written in Standard Form
• Graphing Quadratic Equations and Inequalities written in Vertex Form
• Converting Quadratic Equations written in Standard Form to Vertex Form (Completing the Square) • Increasing and Decreasing Intervals
• End Behavior
• Parent Functions Review - Linear, Absolute Value, and Quadratic. Identifying special characteristics including domain, range, number of zeros, end behavior, increasing/decreasing intervals • Greatest Integer Function (Bonus Topic)
ADDITIONAL COMPONENTS INCLUDED:
(1) Links to Instructional Videos: Links to videos of each lesson in the unit are included. Videos were created by fellow teachers for their students using the guided notes and shared in March 2020 when schools closed with no notice. Please watch through first before sharing with your students. Many teachers still use these in emergency substitute situations. (2) Editable Assessments: Editable versions of each quiz and the unit test are included. PowerPoint is required to edit these files. Individual problems can be changed to create multiple versions of the assessment. The layout of the assessment itself is not editable. If your Equation Editor is incompatible with mine (I use MathType), simply delete my equation and insert your own.
(3) Google Slides Version of the PDF: The second page of the Video links document contains a link to a Google Slides version of the PDF. Each page is set to the background in Google Slides. There are no text boxes; this is the PDF in Google Slides. I am unable to do text boxes at this time but hope this saves you a step if you wish to use it in Slides instead!
Please download the preview to see a sample outline along with a collage of some of the pages.
This resource is included in the following bundle(s):
Algebra 2 Curriculum
More Algebra 2 Units:
Unit 1 – Equations and Inequalities
Unit 2 – Linear Functions and Systems
Unit 4 – Quadratic Equations and Complex Numbers
Unit 5 – Polynomial Functions
Unit 6 – Radical Functions
Unit 7 – Exponential and Logarithmic Functions
Unit 8 – Rational Functions
Unit 9 – Conic Sections
Unit 10 – Sequences and Series
Unit 11 – Probability and Statistics
Unit 12 – Trigonometry
LICENSING TERMS: This purchase includes a license for one teacher only for personal use in their classroom. Licenses are non-transferable , meaning they can not be passed from one teacher to another. No part of this resource is to be shared with colleagues or used by an entire grade level, school, or district without purchasing the proper number of licenses. If you are a coach, principal, or district interested in transferable licenses to accommodate yearly staff changes, please contact me for a quote at [email protected].
COPYRIGHT TERMS: This resource may not be uploaded to the internet in any form, including classroom/personal websites or network drives, unless the site is password protected and can only be accessed by students.
© All Things Algebra (Gina Wilson), 2012-present
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Unit 9: Transformations of functions
About this unit.
We can think graphs of absolute value and quadratic functions as transformations of the parent functions |x| and x². Importantly, we can extend this idea to include transformations of any function whatsoever! This fascinating concept allows us to graph many other types of functions, like square/cube root, exponential and logarithmic functions.
Shifting functions
- Shifting functions introduction (Opens a modal)
- Shifting functions examples (Opens a modal)
- Graphing shifted functions (Opens a modal)
- Shift functions Get 3 of 4 questions to level up!
Reflecting functions
- Reflecting functions introduction (Opens a modal)
- Reflecting functions: examples (Opens a modal)
- Reflect functions Get 3 of 4 questions to level up!
Symmetry of functions
- Function symmetry introduction (Opens a modal)
- Even and odd functions: Graphs (Opens a modal)
- Even and odd functions: Tables (Opens a modal)
- Even and odd functions: Equations (Opens a modal)
- Even and odd functions: Find the mistake (Opens a modal)
- Symmetry of polynomials (Opens a modal)
- Even and odd functions: Graphs and tables Get 3 of 4 questions to level up!
- Even & odd functions: Equations Get 3 of 4 questions to level up!
Scaling functions
- Scaling functions introduction (Opens a modal)
- Scaling functions vertically: examples (Opens a modal)
- Scaling functions horizontally: examples (Opens a modal)
- Identifying horizontal squash from graph (Opens a modal)
- Scale functions vertically Get 3 of 4 questions to level up!
- Scale functions horizontally Get 3 of 4 questions to level up!
Putting it all together
- Identifying function transformations (Opens a modal)
- Identify function transformations Get 3 of 4 questions to level up!
Graphs of square and cube root functions
- Graphing square and cube root functions (Opens a modal)
- Radical functions & their graphs (Opens a modal)
- Graphs of square and cube root functions Get 3 of 4 questions to level up!
Graphs of exponential functions
- Transforming exponential graphs (Opens a modal)
- Transforming exponential graphs (example 2) (Opens a modal)
- Graphing exponential functions (Opens a modal)
- Graphs of exponential functions Get 3 of 4 questions to level up!
Graphs of logarithmic functions
- Graphical relationship between 2ˣ and log₂(x) (Opens a modal)
- Graphing logarithmic functions (example 1) (Opens a modal)
- Graphing logarithmic functions (example 2) (Opens a modal)
- Transformations of functions: FAQ (Opens a modal)
- Graphs of logarithmic functions Get 3 of 4 questions to level up!
1-5 Parent Functions and Transformations
Here is your free content for this lesson!
Parent functions and transformations worksheet, word docs, & powerpoints.
1-5 Assignment - Parent Functions and Transformations 1-5 Bell Work - Parent Functions and Transformations 1-5 Exit Quiz - Parent Functions and Transformations 1-5 Guided Notes SE - Parent Functions and Transformations 1-5 Guided Notes TE - Parent Functions and Transformations 1-5 Lesson Plan - Parent Functions and Transformations 1-5 Online Activities - Parent Functions and Transformations 1-5 Slide Show - Parent Functions and Transformations
1-5 Assignment - Parent Functions and Transformations 1-5 Bell Work - Parent Functions and Transformations 1-5 Exit Quiz - Parent Functions and Transformations 1-5 Guided Notes SE - Parent Functions and Transformations 1-5 Guided Notes TE - Parent Functions and Transformations 1-5 Lesson Plan - Parent Functions and Transformations 1-5 Online Activities - Parent Functions and Transformations 1-5 Slide Show - Parent Functions and Transformations
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Radians and Degrees
Trigonometric functions on the unit circle, logarithmic functions, properties of logarithms, matrix operations, analyzing graphs of functions and relations, power and radical functions, polynomial functions, teaching functions in precalculus, teaching quadratic functions and equations.
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Unit 3 Parent Functions And Transformations Homework 1 Piece
Displaying top 8 worksheets found for - Unit 3 Parent Functions And Transformations Homework 1 Piece .
Some of the worksheets for this concept are Unit 3 relations and functions homework 3 equations as, Transformations work name date, Transformations of function, Lesson 1 piecewise functions, Loudoun county public schools overview, Piecewise answers, 15a math algebra ii units1 4, State college area school district state college area.
Found worksheet you are looking for? To download/print, click on pop-out icon or print icon to worksheet to print or download. Worksheet will open in a new window. You can & download or print using the browser document reader options.
1. Unit 3 relations and functions homework 3 equations as ...
2. transformations worksheet name: date, 3. 1.3 transformations of function graphs.notebook, 4. lesson 1: piecewise functions, 5. loudoun county public schools / overview, 6. piecewise answers, 7. 15a math algebra ii units1-4, 8. state college area school district / state college area ....
IMAGES
VIDEO
COMMENTS
quadratic standard form. y = ax^2+bx+c. 1st step in converting quadratic standard form to quadratic vertex form: group (ax^2 + bx) 2nd step in converting quadratic standard form to quadratic vertex form: check a; if a != 1, factor outside so it becomes a (x^2 + bx) 3rd step in converting quadratic standard form to quadratic vertex form:
View A2 - Topic 1 - Lesson 3 HW.pdf from MATH 529 at Chaminade Madonna College Prep. Name: _ Unit 3: Parent Functions & Transformations Date: _ Bell: _ Homework 1: Piecewise Functions & Greatest
Unit 3 - Parent Functions & Transformations: Sample Unit Outline. Piecewise Functions (Day 1) includes linear functions only. Piecewise functions that include absolute and quadratic functions are integrated throughout the later lessons. A Parent Functions Chart is included on Day 12 that includes linear, absolute value, quadratic, cubic ...
unit 3 parent functions and transformations. Flashcards; Learn; Test; Match; ... Unit 3 - L3.3 Absolute Value Functions, Transformations, and Vertex Form, Absolute Value Functions. Teacher 28 terms. Ezell1999. Preview. Math Quiz Q2 WK2 . 11 terms. OrangeHedgehog48901. Preview. algebra 2 test 9/10-11/20.
In conclusion, the Unit 3 Parent Functions and Transformations Homework 1 Answer Key is a crucial tool for understanding and applying the concepts covered in this unit. By providing step-by-step solutions and explanations, it helps us to check our work, learn from our mistakes, and deepen our understanding of parent functions and transformations.
unit 3 parent functions and transformations. 11 terms. Iman_Ndiaye. Preview. algebra 2 test 9/10-11/20. 22 terms. lindy_gaither. ... Chapter 3: Parent Functions and Transformations. Teacher 15 terms. cynderizboss1337. Preview. Stereotypes, Prejudice & Discrimination. 34 terms. dianagawad. Preview. Exam 2 (5-8) 77 terms.
The purpose of this unit is to provide the foundation for the parent functions, with a particular focus on the linear, absolute value, and quadratic function families. A chart is provided with all the parent functions that can be used throughout future units. This Parent Functions and Transformations Unit Bundle includes guided notes, homework ...
Homework 3: Identifying Transformations & Writing Functions . Give the parent function of each function family. 1. Linear Functions. 2. Absolute Value Functions ... units left and 5 units up.then shifted 2 units right and 1 unit down. 22. Reflected in the . x-axis, then translated 8
Sample Problem 1: Identify the parent function and describe the transformations. Sample Problem 2: Given the parent function and a description of the transformation, write the equation of the transformed function ( ). Sample Problem 3: Use the graph of parent function to graph each function. Find the domain and the range of the new function. a.
Transformations of Functions (Unit 3.1) William (Bill) Finch Mathematics Department Denton High School ... is the parent function. g(x)is a vertical shift up 3 units. h(x)is a vertical shift down 4 units. 4 2 2 4 4 2 2 4 f(x) g(x) h(x) x y W. Finch DHS Math Dept Transformations 14/37.
Absolute Value Transformation. nonrigid transformation in the graph of y = f(x): horizontal shrink when a > 1: h(x) = f(a x) horizontal stretch when 0 < a < 1: I. h(x) = f(a x) In other words ...if you multiply the input of a function by a constant the resulting stretch or shrink is in the horizontal direction. W.Finch.
Step 1. To find out the function value just plug in the value of x in t... Name: Date: Unit 3 Homework 1: Piecewise Functions & Bell: Greatest Integer Functions This is a 2-page document! Given a (x)-2x-x2 f-6 4xs1, find each function value. 4x+7 if x>1 1. a (8) 2. al) (3) +7 5. a Graph each function. Identify the domain and range. 50 D= R=.
About this unit. We can think graphs of absolute value and quadratic functions as transformations of the parent functions |x| and x². Importantly, we can extend this idea to include transformations of any function whatsoever! This fascinating concept allows us to graph many other types of functions, like square/cube root, exponential and ...
Study with Quizlet and memorize flashcards containing terms like Linear, Absoulte Value, Quadratic and more.
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1-5 Assignment - Parent Functions and Transformations. 1-5 Bell Work - Parent Functions and Transformations. 1-5 Exit Quiz - Parent Functions and Transformations. 1-5 Guided Notes SE - Parent Functions and Transformations. 1-5 Guided Notes TE - Parent Functions and Transformations.
In this video, I cover the four basic parent functions (constant, linear, absolute value, and quadratic) and also go over two types of transformations (trans...
Steps: 1. Find the x-value of the vertex. Set the expression from the inside of the absolute value bars equal to 0 and solve. 2. Place this value in the middle row of your table. Number up and down, then complete the table. 3. Graph.
View Algebra II Unit 3 Day 1 HW key.pdf from ALGEBRA 101 at Helena High School. Name: K'Clé Unit 3: Parent Functions & Transformations Date: Bell: | | Homework 1: Piecewise Functions & Greatest. AI Homework Help. ... K'Clé Date: Bell: Homework 1: Piecewise Functions & Greatest Integer Functions ** This is a 2-page document! ** Ix—8| ifx ...
Displaying top 8 worksheets found for - Unit 3 Parent Functions And Transformations Homework 1 Piece. Some of the worksheets for this concept are Unit 3 relations and functions homework 3 equations as, Transformations work name date, Transformations of function, Lesson 1 piecewise functions, Loudoun county public schools overview, Piecewise answers, 15a math algebra ii units1 4, State college ...