BIG IDEAS MATH Algebra 2: Common Core Student Edition 2015 HOUGHTON MIFFLIN HARCOURT
BIG IDEAS MATH Algebra 2: Common Core S... 15th Edition HOUGHTON MIFFLIN HARCOURT Publisher: Cengage Learning ISBN: 9781608408405
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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!
Common Core Algebra - Shifting Functions Worksheet - NYS Regents
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Unit 11 – The Circular Functions
Rotations and Angle Terminology
LESSON/HOMEWORK
LESSON VIDEO
EDITABLE LESSON
EDITABLE KEY
Radian Angle Measurement
The Unit Circle
The Definition of the Sine and Cosine Functions
More Work with the Sine and Cosine Functions
Basic Graphs of Sine and Cosine
Vertical Shifting of Sinusoidal Graphs
The Frequency and Period of a Sinusoidal Graph
Sinusoidal Modeling
The Tangent Function
The Reciprocal Functions
Unit Review
Unit 11 Review – The Circular (Trig) Functions
UNIT REVIEW
EDITABLE REVIEW
Unit 11 Assessment Form A
EDITABLE ASSESSMENT
Unit 11 Assessment Form B
Unit 11 Assessment Form C
Unit 11 Assessment Form D
Unit 11 Exit Tickets
Unit 11 Mid-Unit Quiz (through Lesson 5) – Form A
Unit 11 Mid-Unit Quiz (through Lesson 5) – Form B
Unit 11 Mid-Unit Quiz (through Lesson 5) – Form C
Unit 11 Mid-Unit Quiz (through Lesson 5) – Form D
U11.AO.01 – Lesson 8.5.More Work Graphing Sine and Cosine
EDITABLE RESOURCE
U11.AO.02 – Sinusoidal Modeling of Daylight Data
U11.AO.03 Sinusoidal Modeling Teacher Directions
U11.AO.04 – Solving Trigonometric Equations Graphically
U11.AO.05 – Sinusoidal Modeling Additional Practice
U11.AO.06 – Practice Calculating Values of Various Trig Functions
U11.AO.07 – Practice with Radian Angle Measurement
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Find step-by-step solutions and answers to Algebra 2 Common Core - 9780133186024, as well as thousands of textbooks so you can move forward with confidence. ... Section 2-3: Linear Functions and Slope-Intercept Form. Section 2-4: More About Linear Equations. Page 89: Mid-Chapter Quiz. Section 2-5: Using Linear Models. Section 2-6: Families of ...
Common Core Algebra II; Algebra 2 + Trigonometry; For Teachers. N-Gen Math™ 6; N-Gen Math™ 7; ... LESSON/HOMEWORK. LESSON VIDEO. ANSWER KEY. EDITABLE LESSON. EDITABLE KEY. Lesson 2 Factoring. LESSON/HOMEWORK. LESSON VIDEO. ... please credit us as follows on all assignment and answer key pages: "This assignment is a teacher-modified ...
Find step-by-step solutions and answers to Algebra 2 Common Core - 9780547647074, as well as thousands of textbooks so you can move forward with confidence. ... Chapter 2:Quadratic Functions. Section 2-1: Using Transformations to Graph Quadratic Functions. Section 2-2: Properties of Quadratic Functions in Standard Form. Section 2-3: Solving ...
Learn for free about math, art, computer programming, economics, physics, chemistry, biology, medicine, finance, history, and more. Khan Academy is a nonprofit with the mission of providing a free, world-class education for anyone, anywhere.
Find step-by-step solutions and answers to Algebra 2 Common Core Edition - 9780076639908, as well as thousands of textbooks so you can move forward with confidence. ... Section 2-7: Parent Functions and Transformations. Section 2-8: Graphing Linear Absolute Value Inequalities. Page 122: Study Guide and Review. Page 127: Practice Test. Page 130:
Textbook solutions for BIG IDEAS MATH Algebra 2: Common Core Student Edition 2015… 15th Edition HOUGHTON MIFFLIN HARCOURT and others in this series. View step-by-step homework solutions for your homework. Ask our subject experts for help answering any of your homework questions! ... FREE Answers for BIG IDEAS MATH Algebra 2: Common Core ...
Assessment. Unit 7 - Mid-Unit Quiz (Through Lesson #3) - Form B. ASSESSMENT. ANSWER KEY. EDITABLE ASSESSMENT. EDITABLE KEY.
This is a shift of y = by 4 units left and 1 unit down: OR use calcuíQ r (2) —11+7? Hint: Create a sketch by hand or on 5. Which of the following gives the range of the function y — your calculator to help solve this problem. (2) y -L/Q/UeS all Il-values (3) LESSON #3 COMMON CORE ALGEBRA I, — ROOTS AND IRRATIONAL NUMBERS — RED HOOK, NY ...
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 ...
Our resource for Algebra 2, Volume 1 includes answers to chapter exercises, as well as detailed information to walk you through the process step by step. With Expert Solutions for thousands of practice problems, you can take the guesswork out of studying and move forward with confidence. Find step-by-step solutions and answers to Algebra 2 ...
The major transformations of functions are explored in this 5 lesson unit, using algebraic and graphical examples. In each case the affect on the graph of f (x) by the transformations f (x)+k, f (x+k), kf (x), and f (kx) is investigated for various values of k. Finally, even and odd functions are introduced along with their respective symmetries.
You worked with this extensively in Common Core Algebra I. The first exercise will review how to use a method known as completing the square. to identify shifts and the turning point of a parabola. Exercise #1: The function y x 2 is shown already graphed on the grid below. Consider the quadratic whose equation is y x.
Answer Key . COMMON CORE ALGEBRA II, ... function of time? Explain your answer. h (ft) t (sec) 5 No. Many heights, or outputs, will be repeated as the ball bounces up and down. Notice how it fails the horizontal line test. (2) (1)
COMMON CORE ALGEBRA II, UNIT #2 - FUNCTIONS AS CORNERSTONES OF ALGEBRA II - LESSON #7. KEY FEATURES OF FUNCTIONS COMMON CORE ALGEBRA II HOMEWORK. FLUENCY. 1. The piecewise linear function f x is shown to the right. Answer the following questions based on its graph. y. (a) Evaluate each of the following based on the graph: (i) f 4 (ii) f 3 .
This worksheet mainly covers the two common core standards: Build a function that models a relationship between two quantities. HSF.BF.A.1 Write a function that describes a relationship between two quantities. Build new functions from existing functions. HSF.BF.B.3 Identify the effect on the graph of replacing f(x) by f(x) + k, k f(x), f(kx), and f(x + k) for specific values of k (both ...
REASONING. 4. In one of the following tables, the variable y is a function of the variable x. Explain which relationship is a function and why the other is not. Relationship #1 is a function because each input value, x, is paired with a single output variable, y. Relationship #2 is not a function because there are multiple inputs, , which have ...
• Lesson #2 - Radian Angle Measurement • Lesson #3 - The Unit Circle • Lesson #4 - The Definition of the Sine and Cosine Functions • Lesson #5 - More Work with the Sine and Cosine Functions • Lesson #6 - Basic Graphs of Sine and Cosine • Lesson #7 - Vertical Shifting of Sinusoidal Graphs
In this lesson we look at the key features of functions, including intervals of increase/decrease, intervals of positive/negative, and relative maximums and ...
Find step-by-step solutions and answers to Big Ideas Math Algebra 2: A Common Core Curriculum - 9781608408405, as well as thousands of textbooks so you can move forward with confidence.
Rotating functions is out of the scope of our work in this course, but we will investigate all of the others, all of which you originally saw in Common Core Algebra I. In this lesson, we will concentrate on shifting functions. Exercise #1: Consider the functions yxyx yx ,32, and 14.
Assessment. Unit 11 Mid-Unit Quiz (through Lesson 5) - Form B. ASSESSMENT. ANSWER KEY. EDITABLE ASSESSMENT. EDITABLE KEY.
Shifting functions common core algebra 2 homework answer key ... , and Algebra II are generally excellent from the viewpoint of someone only using the most rudimentary math for many years. My only criticism would echo some of the other reviews that in some cases the teacher tends to spend half the lesson belaboring two plus two, then swiftly ...
Our resource for Core Connections Algebra 2 includes answers to chapter exercises, as well as detailed information to walk you through the process step by step. With Expert Solutions for thousands of practice problems, you can take the guesswork out of studying and move forward with confidence. Find step-by-step solutions and answers to Core ...