Mrs. Snow's Math
Mcneil high school.
- Parent Letter
- Algebra I
- Math Modeling
Algebra II Lesson Notes
These notes follow the Prentice Hall Algebra II Texas Edition Textbook. Roundrock ISD adopted new math textbooks to be used starting with the 2015 school year.
I have kept these notes available for parents and students alike as basic algebraic fundamentals do not change.
FALL SEMESTER
Lesson 1 Parent Functions
Class Notes
Parent Functions Worksheet
Lesson 2 Domain and Range
Domain and Range Worksheet
Lesson 3 Function Transformations
Function Transformations Worksheet
Lesson 4 Function Notation and Function Representations
Function Notation and Representations Worksheet
Lesson 5 Inverse Functions
Inverse Functions Worksheet
Test Review (fall 2014)
Review Answers (fall 2014)
Test Review (fall 2013)
Review Answers (fall 2013)
Chapter 1 Tools of Algebra
Lesson 1 Part 1 Properties of Real Numbers
Lesson 1 Part 2
Lesson 2 Algebraic Expressions
Lesson 3 Solving Equations
Lesson 4 Solving Inequalities
Lesson 5 Absolute Value Equations and Inequalities
Lesson 6 Probability
Chapter 1 Rev . (fall 2013)
Chapter 2 Functions, Equations And Graphs
Lesson 1 Relations and Functions
Lesson 2 Linear equations
Lesson 3 Direct Variation
Lesson 4 Using Linear Models
Lesson 5 Absolute Value Functions and Graphs
Lesson 2.5 Absolute Value Equations and Functions 2014
Worksheet to accompany part 1
Lesson 2.5 Absolute Value Transformations 2014
2014 Absolute Value Test Review
2014 A Review Solutions
Lesson 6 Families of Functions
Lesson 7 Two-Variable Inequalities
Class Notes Linear Inequalities
Class Notes Absolute Value Inequalities (Combined w/ 2.6)
2013 Absolute Value Test Review
2013 Absolute Value Review Solutions
Chapter 2 Rev. (review from a previous year)
Review Solutions
Using Stat Plot
Absolute Value Translations
Chapter 3 Linear Systems
Lesson 1 Graphing Systems of Equations
Lesson 2 Solving Systems Algebraically
Lesson 3 Systems of Inequalities
Lesson 4 Linear Programming
Worksheet Assignment
Lesson 6 Systems with Three Variables
Chapter2&3 Review
Linear systems Review - 2.2, 2.7 and Chapter 3
Linear Systems Review - covering sections from Chapters 2 and 3
Chapter 3 Rev. (review from a previous Year)
Chapter 3 Rev. Extras
Chapter 4 Matrices
Lesson 1 Organizing Data into Matrices (2013 notes)
Lesson 2 Adding and Subtracting Matrices
Lesson 3 Matrix Multiplication
4.2 and 4.3 Class Notes
Lesson 5 2x2 Matrices, Determinants and Inverses
4.5 Class Notes
Solving Systems of 3 Equations :
by hand and with Gaussian Elimination
Homework Worksheet
Lesson 4.6 3x3 Matrices, Determinants and Inverses
and calculator methods to solve matrices
Class Notes - 3x3 Matrices, Determinants and Inverses
Chapter 4 Matrix Test Review (2014)
Review Solutions (2014)
Lesson 5&6 Det. Determinants (2009)
Lesson 5&6 Inv. Inverses (2009)
Lesson 3.6 Systems of Equations with 3 Variables
Lesson 7 Inverse Matrices and Systems (2013 notes)
Class Notes - 4.6 and 4.7 combined
Lesson 8 Augmented Matrices and Systems (2013 notes)
Chapter 4 Rev. (2009 review)
Matrices Review - 2013
Solutions (fall 2013)
Chapter 5 Quadratic Equations and Functions
Last word on Chapt. 4
Lesson 1 Modeling Data with Quadratic Functions
Lesson 2 Properties of Parabolas
Class Notes for 5.1 and 5.2
Lesson 3 Transforming Parabolas
Lesson 4 Factoring Quadratic Expressions
Factoring Flow Chart
2013Chapter 5.1-5.4 Review 2013
Review Solutions (fall 2013)
Lesson 5 Quadratic Equations
Lesson 8 Quadratic Formula
Class Notes for 5.5 and 5.8
Radicals
Lesson 6 Complex Numbers
Lesson 7 Completing the Square
Solving Quadratic Inequalities
Worksheet Solving Quadratic Inequalities and Quadratic Word Problems
Chapter 5B Review (fall 2014)
Solutions (fall 2014)
Archive review
Chapter 5 Review Part 1 2010
Chapter 5 review Part 2 2010
Fall Final 2014
Fall Final 2013
Solutions
Fall 2010 Review :
Fall Final Review
SPRING SEMESTER
C hapter 6 Polynomials and Polynomial Functions
Lesson 6-1 Polynomial Functions
Class Notes
Lesson 6-2 Polynomials and Linear Factors
Lesson 6-3 Dividing Polynomials
Lesson 6-4 Solving Polynomial Equations
ClassNotes
Lesson 6-5/Lesson 6.6 Part I Theorems about Polynomial Functions
Lesson 6- 5/ Lesson 6.6 Part II Finding Roots of Cubic Functions
Lesson 6-8 The Binomial Theorem
Ch 6 Review 2015
Ch 6 Review Solutions 2015
Ch 6 Review 2011
Chapter 7 Radical Functions and Rational Exponents
Lesson 7-8 Graphs of Square Root Functions
Class Notes (2015)
Lesson 7-1 Roots and Radical Expressions
Lesson 7-2 Multiplying and Dividing Radical Expressions
Class Notes 7-1 and 7-2
Lesson 7-3 Binomial Radical Expressions
Lesson 7-4 Rational Exponents
Lesson 7-5 Solving Square Root and Other Radical Equations
Lesson 7-6 Function Operations
Lesson 7-7 Inverse Relations and Functions
Lesson 7-8 Graphing Square Root and Other Radical Function
Chapter 7 Review (Spring 2015)
Chapter 7 Solutions (Spring 2015)
Lesson 7.1-7.4 Review 2011
Ch. 7 Review 2011
Chapter 8 Exponential and logarithmic Functions
Lesson 8-1 Exploring Exponential Models
Lesson 8-2 Models of Exponential Functions
Worksheet Models of Exponential Functions
Lesson 8.2- B Graphs of Exponential Functions
Worksheet Graphs of Exponential Functions
Ch 8.1-8.2Review (Spring 2015)
Solutions (Spring 2015)
Ch.8-a and Ch.7 Spiral Review 2014
Lesson 8-3 Logarithmic Functions as Inverses
Lesson 8-4 Properties of Logarithms
Lesson 8-5 Exponential and Logarithmic Equations
Examples Pertaining to Logarithm Applications
Logarithm Applications Worksheet
Lesson 8-6 Natural Logarithms
Chapter 8B Review 201 5
Solutions 201 5
Ch. 8 Review 2011
Chapter 9 Rational Functions
Lesson 9-1 Inverse Variation
Lesson 9-2 The Reciprocal Function Family
Lesson 9-3 Rational Functions and Their Graphs
Graphing Rational Functions Worksheet
Lesson 9-4 Rational Expressions
Rational Functions Test Review (2015)
Solutions (2015)
Lesson 9-5 Adding and Subtracting Rational Expressions
Lesson 9-6 Solving Rational Equations
Rational Equations Application Problems
Worksheet Rational Equation Applications
Chapter 9B 2015
Chapter 9B Solutions 2015
Ch. 9-A Review2014
2014 Review Solutions
Chapter 9B Test Review 2014 9.4-9.6
Solutions 2014
Ch. 9 Review 2011
Chapter 10 Quadratic relations and Conic Sections
Lesson 10-3 Circles
Class Notes
Lesson 10-4 Ellipses
Lesson 10-5 Hyperbolas
Lesson 10-2 Parabolas
Parabolas Homework Worksheet
Lesson 10-6 Translating Conic Sections
10.6 Homework Worksheet
Chapter 10 Review
Solutions 2015
Which Conics? Flow Chart
Conics Formula Sheet
Completing the Square
Solving Conics Problems
Ch. 10 Review (2011)
Spring 2015 Review
Review 2015
Spring 2014 Review
Spring 2014 Final Review
2014 Solutions
Copyright © 2009. All Rights Reserved.
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Algebra 2 Worksheets with answer keys
Enjoy these free printable math worksheets . Each one has model problems worked out step by step, practice problems, as well as challenge questions at the sheets end. Plus each one comes with an answer key.
- Absolute Value Equations
- Simplify Imaginary Numbers
- Adding and Subtracting Complex Numbers
- Multiplying Complex Numbers
- Dividing Complex Numbers
- Dividing Complex Number (advanced)
- End of Unit, Review Sheet
- Exponential Growth (no answer key on this one, sorry)
- Compound Interest Worksheet #1 (no logs)
- Compound Interest Worksheet (logarithms required)
- Simplify Rational Exponents
- Solve Equations with Rational Exponents
- Solve Equations with variables in Exponents
- Factor by Grouping
- 1 to 1 functions
- Evaluating Functions
- Composition of Functions
- Inverse Functions
- Operations with Functions
- Functions Review Worksheet
- Product Rule of Logarithms
- Power Rule of Logarithms
- Quotient Rule of Logarithms
- Logarithmic Equations Worksheet
- Dividing Polynomials Worksheet
- Solve Quadratic Equations by Factoring
- Solve Quadratic Equations by Completing the Square
- Quadratic formula Worksheet (real solutions)
- Quadratic Formula Worksheet (complex solutions)
- Quadratic Formula Worksheet (both real and complex solutions)
- Discriminant Worksheet
- Sum and Product of Roots
- Radical Equations
- Rationalizing the Denominator
- Simplify Rational Expressions Worksheet
- Dividing Rational Expressions
- Multiplying Rational Expressions
- Adding and Subtracting Rational Expressions (with like denominators)
- Adding and Subtracting Ratioal Expressions with Unlike Denominators
- Mixed Review on Rational Expressions
Ultimate Math Solver (Free) Free Algebra Solver ... type anything in there!
Popular pages @ mathwarehouse.com.
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Algebra II : Transformations
Study concepts, example questions & explanations for algebra ii, all algebra ii resources, example questions, example question #1 : transformations.
Almost all transformed functions can be written like this:
Example Question #2 : Transformations
Which of the following transformations represents a parabola shifted to the right by 4 and halved in width?
Example Question #3 : Transformations
Which of the following represents a standard parabola shifted up by 2 units?
Vertical shifts to this standard equation are represented by additions (upward shifts) or subtractions (downward shifts) added to the end of the equation. To shift upward 2 units, add 2.
Example Question #4 : Transformations
Which of the following transformation flips a parabola vertically, doubles its width, and shifts it up by 3?
Vertical shifts are represented by additions (upward shifts) or subtractions (downward shifts) added to the end of the equation. To shift upward 3 units, add 3.
Example Question #5 : Transformations
Which of the following shifts a parabola six units to the right and five downward?
Vertical shifts to this standard equation are represented by additions (upward shifts) or subtractions (downward shifts) added to the end of the equation. To shift downward 5 units, subtract 5.
Example Question #6 : Transformations
Which of the following transformations represents a parabola that has been flipped vertically, shifted to the right 12, and shifted downward 4?
Vertical shifts are represented by additions (upward shifts) or subtractions (downward shifts) added to the end of the equation. To shift downward 4 units, subtract 4.
Example Question #7 : Transformations
Which of the following transformations represents a parabola that has been shifted 4 units to the left, 5 units down, and quadrupled in width?
Vertical shifts are represented by additions (upward shifts) or subtractions (downward shifts) added to the end of the equation. To shift downward 5 units, subtract 5.
The new equation after shifting left 2 units is:
Shifting up 3 units will add 3 to the y-intercept of the new equation.
Example Question #9 : Transformations
It helps to evaluate the expression algebraically.
Example Question #10 : Transformations
This is a reflection across the y axis.
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Unit 1: Polynomial arithmetic
Unit 2: complex numbers, unit 3: polynomial factorization, unit 4: polynomial division, unit 5: polynomial graphs, unit 6: rational exponents and radicals, unit 7: exponential models, unit 8: logarithms, unit 9: transformations of functions, unit 10: equations, unit 11: trigonometry, unit 12: modeling.
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Using a Transformations Worksheet to master Geometry!
Geometry is a challenging branch of mathematics that students will have to attempt to master in middle and high school.
The work within the field of geometry is a bit more visual, creative and requires students to use their spatial thinking more.
One of the most effective ways to practice the skills that are being learned is to use transformations worksheets from Cazoom Maths. The worksheets are visually appealing to engage students in the work. For a small monthly fee, the worksheets also come with answer keys so that students and parents can check the work as soon as it is completed.
Having a timely feedback loop is important when trying to master concepts in maths. Transformations are a branch of geometry that involves learning about translations, reflections, dilations and rotations. All of these skills have applications in the real world that students can connect to. Making these real-world connections make the skills much more relevant, and that is a huge factor in motivating students to learn the skills.
Any student can master the various transformations if they have the proper instruction, practice, feedback, and motivation. Using Cazoom Maths as part of that process is a great way to help students from 6th Grade onwards increase their achievement levels and soar to success.
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algebra 2 function transformations
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Transformations of Functions
11th - 12th , transformations, 14.8k plays, 3rd - 6th , rigid transformations, 6th - 8th , transformations of quadratic functions.
transformations
9th - 10th grade, mathematics.
15 questions
Introducing new Paper mode
No student devices needed. Know more
- Multiple Choice Edit Please save your changes before editing any questions. 3 minutes 1 pt Which transformation transforms the graph of f(x) = x 2 to the graph of g(x) = (x + 4) 2 ? a vertical translation 4 units up a vertical translation 4 units down a horizontal translation 4 units to the left a horizontal translation 4 units to the right
- Multiple Choice Edit Please save your changes before editing any questions. 2 minutes 1 pt How did we transform from y=x 2 to y = -3x 2 reflection in x-axis and vertical shift down reflection x-axis and vertical stretch horizontal stretch reflection x-axis and vertical compression
- Multiple Choice Edit Please save your changes before editing any questions. 3 minutes 1 pt How did we transform from the parent function? y = -1/5(x - 1) 2 + 7 reflection, vertical compression, horizontal right, vertical up vertical compression, horizontal shift left, vertical shift up reflection, horizontal shift right, vertical shift down no changes were made to y = x 2
- Multiple Choice Edit Please save your changes before editing any questions. 3 minutes 1 pt In the equation f(x)=5(x+3) 2 -10 what does the 5 do? Vertical stretch by 5 Horizontal compress by 5 Reflect Move up 5
- Multiple Choice Edit Please save your changes before editing any questions. 5 minutes 1 pt In the equation f(x)=1/2(x+9) 2 -1, what happens to the parabola? Reflect, horizontal compress by 1/2, left 9, down 1 Vertical compress by 1/2, left 9, down 1 Horizontal Compress by 1/2, right 9, down 1 Vertical Stretch by 1/2, left 9, down 1
- Multiple Choice Edit Please save your changes before editing any questions. 5 minutes 1 pt Transformation: Which equation would represent a parabola that is WIDER than the parent function, f(x) = x 2 ? g(x) = x 2 + 4 g(x) = 4x 2 g(x) = x 2 - 4 g(x) = 1 / 4 x 2
- Multiple Choice Edit Please save your changes before editing any questions. 5 minutes 1 pt Transformation: Which of the following describes the transformation of the graph g(x) = x 2 + 5 from the parent function? Translate 5 units up Translate 5 units down Translate 5 units to the right Translate 5 units to the left.
- Multiple Choice Edit Please save your changes before editing any questions. 2 minutes 1 pt Which function has a translation of 2 units right and a vertical stretch by a factor of 5? f(x)= 5(x - 2) 2 f(x) = 5(x + 2) 2 f(x) = (x - 2) 2 - 5 f(x) = (x + 2) 2 + 5
- Multiple Choice Edit Please save your changes before editing any questions. 2 minutes 1 pt Which function has a translation of 7 units down and reflects over the x-axis? f(x) = -(x - 7) 2 + 1 f(x) = (x + 7) 2 + 1 f(x) = -(x - 1) 2 - 7 f(x) = (x + 1) 2 - 7
- Multiple Choice Edit Please save your changes before editing any questions. 3 minutes 1 pt Describe the transformation of y = x 2 + 4 Shift UP Shift DOWN Shift LEFT Shift RIGHT
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Free Printable Math Worksheets for Algebra 2 Created with Infinite Algebra 2 Stop searching. Create the worksheets you need with Infinite Algebra 2. Fast and easy to use Multiple-choice & free-response Never runs out of questions Multiple-version printing Free 14-Day Trial Windows macOS Basics Order of operations Evaluating expressions
Function Transformations Worksheet . Lesson 4 Function Notation and Function Representations ... Lesson 5 Inverse Functions. Class Notes. Inverse Functions Worksheet . Test Review (fall 2014) Review Answers (fall 2014 ... Review Answers (fall 2013) Chapter 1 Tools of Algebra. Lesson 1 Part 1 Properties of Real Numbers. Lesson 1 Part 2 Lesson 2 ...
Parent: Transformations: For problems 10 — 14, given the parent function and a description of the transformation, write the equation of the transformed function, f(x). 10. Absolute value—vertical shift down 5, horizontal shift right 3. 11. Linear—vertical shift up 5. 12. Square Root —vertical shift down 2, horizontal shift left 7. 13.
Algebra 2 Worksheets with answer keys Mathworksheetsgo.com is now a part of Mathwarehouse.com. All of your worksheets are now here on Mathwarehouse.com. Please update your bookmarks! Enjoy these free printable math worksheets. Each one has model problems worked out step by step, practice problems, as well as challenge questions at the sheets end.
Solution 10. A function is defined as f ( x) = x3 - 4. Sketch the graph of f ( x) and f -1 ( x) on the same axis and describe in transformational terms the relationship between these two graphs. Solution 11. Given: the function shown at the right y = x ( x - 2) ( x + 3) a.
The graph below shows f as a solid blue line and g as a dotted red line. 2 4 6 8 − 4 − 6 − 8 2 4 6 8 − 4 − 6 − 8 What is the formula of g in terms of f ? Choose 1 answer: − 1 3 f ( x) A − 1 3 f ( x) f ( − 3 x) B f ( − 3 x) − 3 f ( x) C − 3 f ( x) f ( − 1 3 x) D f ( − 1 3 x) Stuck? Do 4 problems
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.
Feel free to use a graphing calculator to check your answer, but you should be able to look at the function and apply what you learned in the lesson to move its parent function. Also, state the domain and range for each function. f ( x ) = ( x − 2) 4 Domain:________ Range:_________ 4. f ( x ) = − 3 x − 1 + 5 Domain:________ Range:_________
Graph the parent function (black), the transformation (another color), and the domain and range for the transformation. Determine the parent function from the equation: 16.) y = 2 x 3 − x 2 5 17.) y = 3 x − 9 + 4 18.) y = − 3 = 3 9 − x 19.) = 1 20.) x + 5 2 2 21.) y = x − 6 x + 2
Transformations Worksheet Answer Page. Now you are ready to create your Transformations Worksheet by pressing the Create Button. If You Experience Display Problems with Your Math Worksheet. This Transformations Worksheet will produce problems for practicing translations, rotations, and reflections of objects.
Explanation: Almost all transformed functions can be written like this: g(x) = a[f(b(x − c))] + d. where f(x) is the parent function. In this case, our parent function is f(x) = x2, so we can write g(x) this way: g(x) = a[b(x − c)]2 + d. Luckily, for this problem, we only have to worry about a and d. a represents the vertical stretch factor ...
rotation 90° clockwise about the origin translation: 1 unit right and 3 units up rotation 180° about the origin Create your own worksheets like this one with Infinite Algebra 2. Free trial available at KutaSoftware.com
Unit 1: Polynomial arithmetic 0/1200 Mastery points Intro to polynomials Average rate of change of polynomials Adding and subtracting polynomials Multiplying monomials by polynomials Multiplying binomials by polynomials Special products of polynomials Unit 2: Complex numbers 0/900 Mastery points
Chapter 1: Linear Functions 1.1 - Parent Functions and Transformations Essential Question: What are the characteristics of some of the basic parent functions? What You Will Learn Identify families of functions. Describe transformations of parent functions. Describe combinations of transformations.
2. The dot next to the choice indicates that it is the answer. 9) vertex at (0, 3), opening up, compressed by a factor of your choice. The dot next to the choice indicates that it is the answer. Describe the transformation. 10) y = -x - 6 + 2 The dot next to the choice indicates that it is the answer. 11) y = 1 2 × x + 2 - 1
Unit One Notes and Assignments. Transformation Vocabulary NOTES and ASSIGNMENT and KEY. Translation NOTES and ASSIGNMENT and KEY. Reflection NOTES and ASSIGNMENT and KEY. . Rotation NOTES and ASSIGNMENT and KEY. Transformation Review worksheets. . All.
Algebra questions and answers; Algebra 2 Worksheet Lesson 2.1 Transformations of Quadratic Functions Complete each question in the box provided. Show all work for Credit. 1. 2. 654 The graph of a quadratic function is called a(n) Identify the vertex of the parabola given by f(x) = (x + 2)² - 4. Describe the transformation of f(x) = x² ...
Vertical transformation. a transformation upward or downward. When performing a HORIZONTAL transformation, which coordinate changes? the x. When performing a VERTICAL transformation, which coordinate changes? the y. What happens to the x&y during horizontal and vertical transformation? you add it by the unit number.
10. hr. min. sec. SmartScore. out of 100. IXL's SmartScore is a dynamic measure of progress towards mastery, rather than a percentage grade. It tracks your skill level as you tackle progressively more difficult questions. Consistently answer questions correctly to reach excellence (90), or conquer the Challenge Zone to achieve mastery (100)!
1st Edition ISBN: 9781608408405 Alternate ISBNs Boswell, Larson Textbook solutions Verified Chapter 1: Linear Functions Section 1.1: Parent Functions and Transformations Section 1.2: Transformations of Linear and Absolute Value Functions Page 20: Quiz Section 1.3: Modeling with Linear Functions Section 1.4: Solving Linear Systems Page 38:
Geometry Transformations Worksheets. Our math transformation worksheets in PDF are designed to help students in middle school and high school master the art of translating, reflecting, rotating, and dilating shapes. Use our reflection worksheets, rotation worksheets, translation worksheets, and dilation worksheets to help your child or student ...
4.9. (27) $5.50. Zip. Quadratic Functions and Transformations Algebra 2 Lesson:Your Pre-AP Algebra 2 Honors students will graph quadratic functions, describe and analyze transformations of functions and their characteristics in this unit 4 lesson on Quadratic Functions and Equations that cover the concepts in depth. #distancelearningtptWhat is ...
1 pt. How did we transform from the parent function? y = -1/5 (x - 1) 2 + 7. reflection, vertical compression, horizontal right, vertical up. vertical compression, horizontal shift left, vertical shift up. reflection, horizontal shift right, vertical shift down. no changes were made to y = x 2. Multiple Choice. Edit.