Over Lesson 2 6 Identify the type of function represented by the graph. Identify the type of function represented by the graph. Over Lesson 2 6 Identi

Radical Functions. Attendance Problems. Identify the domain and range of each function.

Page 1 of 12 Radical Functions Attendance Problems. Identify the domain and range of each function. 1. f ( x) = x 2 + 2 2. f ( x) = 3x 3 Use the description to write the quadratic function g based on the

Algebra II Notes Transformations Unit 1.1. Math Background

Lesson. - Parent Functions and Transformations Math Background Previously, you Studied linear, absolute value, exponential and quadratic equations Graphed linear, absolute value, exponential and quadratic

4/2/2014 6:02:01 PM3/29/2014 9:17:13 PM Adapted from UbD Framework

Approximate Time Frame: 2-3 weeks Connections to Previous Learning: In previous units, students have worked with quadratic functions in various forms to determine their roots and vertices. They have used

Transformations with Quadratic Functions KEY

Algebra Unit: 05 Lesson: 0 TRY THIS! Use a calculator to generate a table of values for the function y = ( x 3) + 4 y = ( x 3) x + y 4 Next, simplify the function by squaring, distributing, and collecting

Sections Transformations

MCR3U Sections 1.6 1.8 Transformations Transformations: A change made to a figure or a relation such that it is shifted or changed in shape. Translations, reflections and stretches/compressions are types

Algebra I Notes Absolute Value Functions Unit 04c

OBJECTIVES: F.IF.B.4 Interpret functions that arise in applications in terms of the context. For a function that models a relationship between two quantities, interpret key features of graphs and tables

Lesson #6: Basic Transformations with the Absolute Value Function

Lesson #6: Basic Transformations with the Absolute Value Function Recall: Piecewise Functions Graph:,, What parent function did this piecewise function create? The Absolute Value Function Algebra II with

Relating Quadratic Functions to Graphs

Relating Quadratic Functions to Graphs Student Probe Explain the change from: a. b. c. The change from g x x h x x j x x 3 g x 4 x is the parabola becomes narrower, containing the point 1, rather than

Quadratic Equations. Learning Objectives. Quadratic Function 2. where a, b, and c are real numbers and a 0

Quadratic Equations Learning Objectives 1. Graph a quadratic function using transformations. Identify the vertex and axis of symmetry of a quadratic function 3. Graph a quadratic function using its vertex,

Chapter 2(part 2) Transformations

Chapter 2(part 2) Transformations Lesson Package MCR3U 1 Table of Contents Lesson 1: Intro to transformations.... pg. 3-7 Lesson 2: Transformations of f x = x!...pg. 8-11 Lesson 3: Transformations of f

Functions and Families

Unit 3 Functions and Families Name: Date: Hour: Function Transformations Notes PART 1 By the end of this lesson, you will be able to Describe horizontal translations and vertical stretches/shrinks of functions

1-8 Exploring Transformations

1-8 Exploring Transformations Warm Up Lesson Presentation Lesson Quiz 2 Warm Up Plot each point. D 1. A(0,0) 2. B(5,0) 3. C( 5,0) 4. D(0,5) 5. E(0, 5) 6. F( 5, 5) C A F E B Objectives Apply transformations

Families of Functions

Math Objectives Students will investigate the effects parameters a, h, and k have on a given function. Students will generalize the effects that parameters a, h, and k have on any function. Students will

Objectives. Vocabulary. 1-1 Exploring Transformations

Warm Up Plot each point. D Warm Up Lesson Presentation Lesson Quiz 1. A(0,0) 2. B(5,0) 3. C( 5,0) 4. D(0,5) C A B 5. E(0, 5) 6. F( 5, 5) F E Algebra 2 Objectives Apply transformations to points and sets

Algebra 1, 4th 4.5 weeks

The following practice standards will be used throughout 4.5 weeks:. Make sense of problems and persevere in solving them.. Reason abstractly and quantitatively. 3. Construct viable arguments and critique

Sample: Do Not Reproduce QUAD4 STUDENT PAGES. QUADRATIC FUNCTIONS AND EQUATIONS Student Pages for Packet 4: Quadratic Functions and Applications

Name Period Date QUADRATIC FUNCTIONS AND EQUATIONS Student Pages for Packet 4: Quadratic Functions and Applications QUAD 4.1 Vertex Form of a Quadratic Function 1 Explore how changing the values of h and

Standard Form v. Vertex Form

Standard Form v. Vertex Form The Standard Form of a quadratic equation is:. The Vertex Form of a quadratic equation is where represents the vertex of an equation and is the same a value used in the Standard

I. Function Characteristics

I. Function Characteristics Interval of possible x values for a given function. (Left,Right) Interval of possible y values for a given function. (down, up) What is happening at the far ends of the graph?

Standard Form of Quadratic Functions

Math Objectives Students will be able to predict how a specific change in the value of a will affect the shape of the graph of the quadratic ax bx c. Students will be able to predict how a specific change

Rationale. Instructional Task

A-E Strand(s): Algebra. Sample Courses: Middle School Course 2, Middle School One-Year Advanced Course, Integrated 3, and Algebra II. Topic/Expectation A.C.1 Elementary functions g. Explain, illustrate

NOTE: This lesson is related to Polynomials, Lesson 6, Graphing Polynomial Functions LEARNING OBJECTIVES. Overview of Lesson

M Functions, Lesson 6, Transformations with Functions (r. 2018) FUNCTIONS Transformations with Functions Common Core Standard F-BF.3 Identify the effect on the graph of replacing f(x) by f(x) + k, k f(x),

POLYNOMIALS Graphing Polynomial Functions Common Core Standard

K Polynomials, Lesson 6, Graphing Polynomial Functions (r. 2018) POLYNOMIALS Graphing Polynomial Functions Common Core Standard Next Generation Standard F-BF.3 Identify the effect on the graph of replacing

Warm - Up. Sunday, February 1, HINT: plot points first then connect the dots. Draw a graph with the following characteristics:

Warm - Up Sunday, February 1, 2015 Draw a graph with the following characteristics: Maximums at (-3,4) and (2,2) Minimum at (-1,-3) X intercepts at (-4,0), (-2,0), (1,0), and (3,0) Y intercept at (0,-2)

MAC Learning Objectives. Transformation of Graphs. Module 5 Transformation of Graphs. - A Library of Functions - Transformation of Graphs

MAC 1105 Module 5 Transformation of Graphs Learning Objectives Upon completing this module, you should be able to: 1. Recognize the characteristics common to families of functions. 2. Evaluate and graph

MAC Module 5 Transformation of Graphs. Rev.S08

MAC 1105 Module 5 Transformation of Graphs Learning Objectives Upon completing this module, you should be able to: 1. Recognize the characteristics common to families of functions. 2. Evaluate and graph

Unit Essential Questions: Does it matter which form of a linear equation that you use?

Unit Essential Questions: Does it matter which form of a linear equation that you use? How do you use transformations to help graph absolute value functions? How can you model data with linear equations?

Solve the following system of equations. " 2x + 4y = 8 # $ x 3y = 1. 1 cont d. You try:

1 Solve the following system of equations. " 2x + 4y = 8 # $ x 3y = 1 Method 1: Substitution 1. Solve for x in the second equation. 1 cont d Method 3: Eliminate y 1. Multiply first equation by 3 and second

MAT 106: Trigonometry Brief Summary of Function Transformations

MAT 106: Trigonometry Brief Summary of Function Transformations The sections below are intended to provide a brief overview and summary of the various types of basic function transformations covered in

Characteristics of Exponential Functions

Math Objectives Students will identify the characteristics of exponential functions of the form f(x) = b x, where b > 1. Students will identify the characteristics of exponential functions of the form

6B Quiz Review Learning Targets ,

6B Quiz Review Learning Targets 5.10 6.3, 6.5-6.6 Key Facts Double transformations when more than one transformation is applied to a graph o You can still use our transformation rules to identify which

Chapter 2.4: Parent Functions & Transformations

Chapter.4: Parent Functions & Transformations In Algebra II, you had eperience with basic functions like linear, quadratic, and hopefully a few others. Additionally, you learned how to transform these

Start Fred Functions. Quadratic&Absolute Value Transformations. Graphing Piecewise Functions Intro. Graphing Piecewise Practice & Review

Honors CCM2 Unit 6 Name: Graphing Advanced Functions This unit will get into the graphs of simple rational (inverse variation), radical (square and cube root), piecewise, step, and absolute value functions.

Exploring Graphs of Power Functions Using the TI-Nspire

Exploring Graphs of Power Functions Using the TI-Nspire I. Exploration Write Up: Title: Investigating Graphs of Parabolas and Power Functions Statement of Mathematical Exploration: In this exploration,

Graphing Absolute Value Functions

Graphing Absolute Value Functions To graph an absolute value equation, make an x/y table and plot the points. Graph y = x (Parent graph) x y -2 2-1 1 0 0 1 1 2 2 Do we see a pattern? Desmos activity: 1.

Properties of Quadratic functions

Name Today s Learning Goals: #1 How do we determine the axis of symmetry and vertex of a quadratic function? Properties of Quadratic functions Date 5-1 Properties of a Quadratic Function A quadratic equation

Graphing Techniques and Transformations. Learning Objectives. Remarks

Graphing Techniques and Transformations Learning Objectives 1. Graph functions using vertical and horizontal shifts 2. Graph functions using compressions and stretches. Graph functions using reflections

Sect Graphing Techniques: Transformations

Sect. - Graphing Techniques: Transformations Recall the general shapes of each of the following basic functions and their properties: Identity Function Square Function f(x) = x f(x) = x - - - - - - - -

UNIT 3 EXPRESSIONS AND EQUATIONS Lesson 3: Creating Quadratic Equations in Two or More Variables

Guided Practice Example 1 Find the y-intercept and vertex of the function f(x) = 2x 2 + x + 3. Determine whether the vertex is a minimum or maximum point on the graph. 1. Determine the y-intercept. The

Math January, Non-rigid transformations. Parent function New function Scale factor

Non-rigid transformations In non-rigid transformations, the shape of a function is modified, either stretched or shrunk. We will call the number which tells us how much it is changed the scale factor,

2/22/ Transformations but first 1.3 Recap. Section Objectives: Students will know how to analyze graphs of functions.

1 2 3 4 1.4 Transformations but first 1.3 Recap Section Objectives: Students will know how to analyze graphs of functions. 5 Recap of Important information 1.2 Functions and their Graphs Vertical line

2-7 Parent Functions and Transformations. Identify the type of function represented by each graph. ANSWER: linear ANSWER: absolute value

Identify the type of function represented by each graph. 4. translation of the graph of y = x left 1 unit 1. linear Describe the reflection in each function. Then 5. reflection of the graph of across the

Graphs of Exponential

Graphs of Exponential Functions By: OpenStaxCollege As we discussed in the previous section, exponential functions are used for many realworld applications such as finance, forensics, computer science,

Algebra 2 Chapter 2 Practice Test

Algebra 2 Chapter 2 Practice Test 1. Compare the graph of with the graph of. a. The graph of g(x) is a translation 6 units left and 10 units up from the graph of f(x). b. The graph of g(x) is a translation

Foundations of Math II

Foundations of Math II Unit 6b: Toolkit Functions Academics High School Mathematics 6.6 Warm Up: Review Graphing Linear, Exponential, and Quadratic Functions 2 6.6 Lesson Handout: Linear, Exponential,

Unit 6 Quadratic Functions

Unit 6 Quadratic Functions 12.1 & 12.2 Introduction to Quadratic Functions What is A Quadratic Function? How do I tell if a Function is Quadratic? From a Graph The shape of a quadratic function is called

Amphitheater School District End Of Year Algebra II Performance Assessment Review

Amphitheater School District End Of Year Algebra II Performance Assessment Review This packet is intended to support student preparation and review for the Algebra II course concepts for the district common

1.2 Reflections and Stretches

Chapter Part : Reflections.2 Reflections and Stretches Pages 6 3 Investigating a reflection in the x axis:. a) Complete the following table for and sketch on the axis provided. x 2 0 2 y b) Now sketch

This lesson is designed to improve students

NATIONAL MATH + SCIENCE INITIATIVE Mathematics g x 8 6 4 2 0 8 6 4 2 y h x k x f x r x 8 6 4 2 0 8 6 4 2 2 2 4 6 8 0 2 4 6 8 4 6 8 0 2 4 6 8 LEVEL Algebra or Math in a unit on function transformations

10.3 vertex and max values with comparing functions 2016 ink.notebook. March 14, Vertex and Max Value & Page 101.

10.3 vertex and max values with comparing functions 2016 ink.notebook Page 101 Page 102 10.3 Vertex and Value and Comparing Functions Algebra: Transformations of Functions Page 103 Page 104 Lesson Objectives

Section 6 Quadratic Functions Part 2

Section 6 Quadratic Functions Part 2 The following Mathematics Florida Standards will be covered in this section: MAFS.912.A-CED.1.2 Create equations in two or more variables to represent relationships

QUADRATICS Graphing Quadratic Functions Common Core Standard

H Quadratics, Lesson 6, Graphing Quadratic Functions (r. 2018) QUADRATICS Graphing Quadratic Functions Common Core Standard Next Generation Standard F-IF.B.4 For a function that models a relationship between

Section 4.1 Review of Quadratic Functions and Graphs (3 Days)

Integrated Math 3 Name What can you remember before Chapter 4? Section 4.1 Review of Quadratic Functions and Graphs (3 Days) I can determine the vertex of a parabola and generate its graph given a quadratic

Algebra II Notes Linear Relations and Functions Unit 02. Special Functions

Algebra II Notes Linear Relations and Functions Unit 0 Big Idea Special Functions This lesson examines three special functions; piecewise function usuall written with two or more algebraic expressions,

Stretching the Quads TEACHER NOTES. About the Lesson. Vocabulary. Teacher Preparation and Notes. Activity Materials

About the Lesson In this activity, students will use the Transformational Graphing Application to stretch and translate the parabola given by y = x 2. As a result, students will: Determine the effects

Algebra II Chapter 3 Test Review Standards/Goals: F.IF.1:

1 Algebra II Chapter 3 Test Review Standards/Goals: F.IF.1: o o I can understand what a relation and a function is. I can understand that a function assigns to each element of a domain, EXACTLY one element

Obtaining Information from a Function s Graph.

Obtaining Information from a Function s Graph Summary about using closed dots, open dots, and arrows on the graphs 1 A closed dot indicate that the graph does not extend beyond this point and the point

Five-Minute Check CCSS Then/Now New Vocabulary Key Concept: Undefined Terms Example 1: Name Lines and Planes Example 2: Real-World Example: Model

Five-Minute Check CCSS Then/Now New Vocabulary Key Concept: Undefined Terms Example 1: Name Lines and Planes Example 2: Real-World Example: Model Points, Lines, and Planes Example 3: Draw Geometric Figures

More Than Meets the Eye: Seeing Structure in Graphical Transformations Across the Curriculum

More Than Meets the Eye: Seeing Structure in Graphical Transformations Across the Curriculum Dr. Kelly W. Edenfield Manager of School Partnerships Carnegie Learning When I think of transformations I think

Unit 6 Part I. Quadratic Functions 2/9/2017 2/23/2017

Unit 6 Part I Quadratic Functions 2/9/2017 2/23/2017 By DeviantArt user MagicFiretrucks Name: By the end of this unit, you will be able to Analyze the characteristics of graphs of quadratic functions Graph

Investigating Transformations With DESMOS

MPM D0 Date: Investigating Transformations With DESMOS INVESTIGATION Part A: What if we add a constant to the x in y = x? 1. Use DESMOS to graph the following quadratic functions on the same grid. Graph

A function: A mathematical relationship between two variables (x and y), where every input value (usually x) has one output value (usually y)

SESSION 9: FUNCTIONS KEY CONCEPTS: Definitions & Terminology Graphs of Functions - Straight line - Parabola - Hyperbola - Exponential Sketching graphs Finding Equations Combinations of graphs TERMINOLOGY

Section 1.6 & 1.7 Parent Functions and Transformations

Math 150 c Lynch 1 of 8 Section 1.6 & 1.7 Parent Functions and Transformations Piecewise Functions Example 1. Graph the following piecewise functions. 2x + 3 if x < 0 (a) f(x) = x if x 0 1 2 (b) f(x) =

Unit 12 Special Functions

Algebra Notes Special Functions Unit 1 Unit 1 Special Functions PREREQUISITE SKILLS: students should be able to describe a relation and a function students should be able to identify the domain and range

Name: Date: Absolute Value Transformations

Name: Date: Absolute Value Transformations Vocab: Absolute value is the measure of the distance awa from zero on a number line. Since absolute value is the measure of distance it can never be negative!

Voluntary State Curriculum Algebra II

Algebra II Goal 1: Integration into Broader Knowledge The student will develop, analyze, communicate, and apply models to real-world situations using the language of mathematics and appropriate technology.

REVIEW FOR THE FIRST SEMESTER EXAM

Algebra II Honors @ Name Period Date REVIEW FOR THE FIRST SEMESTER EXAM You must NEATLY show ALL of your work ON SEPARATE PAPER in order to receive full credit! All graphs must be done on GRAPH PAPER!

Unit 5: Quadratic Functions

Unit 5: Quadratic Functions LESSON #5: THE PARABOLA GEOMETRIC DEFINITION DIRECTRIX FOCUS LATUS RECTUM Geometric Definition of a Parabola Quadratic Functions Geometrically, a parabola is the set of all

WARM UP DESCRIBE THE TRANSFORMATION FROM F(X) TO G(X)

WARM UP DESCRIBE THE TRANSFORMATION FROM F(X) TO G(X) 2 5 5 2 2 2 2 WHAT YOU WILL LEARN HOW TO GRAPH THE PARENT FUNCTIONS OF VARIOUS FUNCTIONS. HOW TO IDENTIFY THE KEY FEATURES OF FUNCTIONS. HOW TO TRANSFORM

5.3 Vertex Form of Quadratics 2017.notebook. October 20, Homework Answers:

Homework Answers: 21. 23. 25. 27. 52. 69. 70. 71. 50. a. Vertex (315, 630) b. Domain: (0, 630) Range: (0, 630) c. 360 ft d. 630ft 1 Graph WARM UP 1) Find the vertex of the quadratic function: 2) Complete

E Linear Equations, Lesson 2, Graphing Linear Functions (r. 2018) LINEAR EQUATIONS Graphing Linear Functions Common Core Standards

E Linear Equations, Lesson 2, Graphing Linear Functions (r. 2018) LINEAR EQUATIONS Graphing Linear Functions Common Core Standards Next Generation Standards A-CED.A.2 Create equations in two or more variables

Quadratic Functions In Standard Form In Factored Form In Vertex Form Transforming Graphs. Math Background

Graphing In Standard Form In Factored Form In Vertex Form Transforming Graphs Math Background Previousl, ou Identified and graphed linear functions Applied transformations to parent functions Graphed quadratic

Algebra 2 Chapter Relations and Functions

Algebra 2 Chapter 2 2.1 Relations and Functions 2.1 Relations and Functions / 2.2 Direct Variation A: Relations What is a relation? A of items from two sets: A set of values and a set of values. What does

Unit 1 Day 4 Notes Piecewise Functions

AFM Unit 1 Day 4 Notes Piecewise Functions Name Date We have seen many graphs that are expressed as single equations and are continuous over a domain of the Real numbers. We have also seen the "discrete"

Final Exam Review Algebra Semester 1

Final Exam Review Algebra 015-016 Semester 1 Name: Module 1 Find the inverse of each function. 1. f x 10 4x. g x 15x 10 Use compositions to check if the two functions are inverses. 3. s x 7 x and t(x)

Integers and Absolute Value. Unit 1 Lesson 5

Unit 1 Lesson 5 Students will be able to: Understand integers and absolute value Key Vocabulary: An integer Positive number Negative number Absolute value Opposite Integers An integer is a positive or

Core Mathematics 1 Transformations of Graphs

Regent College Maths Department Core Mathematics 1 Transformations of Graphs Transformations of Graphs September 2011 C1 Note Knowledge of the effect of simple transformations on the graph of y f( x)

Algebra II: Strand 3. Quadratic Functions; Topic 2. Digging Deeper; Task 3.2.1

1 TASK 3..1: PUTTING IT TOGETHER Solutions 1. Each of the following quadratic functions is given in standard form ( y = ax + bx + c ). For each function: Transform the function to the form y = a(x h) +

Honors Algebra 2 Function Transformations Discovery

Honors Algebra Function Transformations Discovery Name: Date: Parent Polynomial Graphs Using an input-output table, make a rough sketch and compare the graphs of the following functions. f x x. f x x.

Exploring Quadratic Graphs

Exploring Quadratic Graphs The general quadratic function is y=ax 2 +bx+c It has one of two basic graphs shapes, as shown below: It is a symmetrical "U"-shape or "hump"-shape, depending on the sign of

2. The diagram shows part of the graph of y = a (x h) 2 + k. The graph has its vertex at P, and passes through the point A with coordinates (1, 0).

Quadratics Vertex Form 1. Part of the graph of the function y = d (x m) + p is given in the diagram below. The x-intercepts are (1, 0) and (5, 0). The vertex is V(m, ). (a) Write down the value of (i)

Today we will revisit Fred, our parent function, and investigate transformations other than translations.

Transformations with Fred Day 2 KEY/TEACHER NOTES Today we will revisit Fred, our parent function, and investigate transformations other than translations. Recall that the equation for Fred is y =. Complete

Student Exploration: Translating and Scaling Functions

Name: Date: Student Exploration: Translating and Scaling Functions Vocabulary: amplitude, parent function, periodic function, scale (a function), transform (a function), translate (a function) Prior Knowledge

1.1: Basic Functions and Translations

.: Basic Functions and Translations Here are the Basic Functions (and their coordinates!) you need to get familiar with.. Quadratic functions (a.k.a. parabolas) y x Ex. y ( x ). Radical functions (a.k.a.

2.5: GRAPHS OF EXPENSE AND REVENUE FUNCTIONS OBJECTIVES

Section 2.5: GRAPHS OF EXPENSE AND REVENUE FUNCTIONS OBJECTIVES Write, graph and interpret the expense function. Write, graph and interpret the revenue function. Identify the points of intersection of

Lesson 20: Four Interesting Transformations of Functions

Student Outcomes Students apply their understanding of transformations of functions and their graphs to piecewise functions. Lesson Notes In Lessons 17 19 students study translations and scalings of functions

INSTRUCTIONAL FOCUS DOCUMENT Algebra II

UNIT OVERVIEW This unit bundles student expectations that address connections between functions and their characteristics, as well as connections between parent functions and their transformations. The

Situation #1: Translating Functions Prepared at University of Georgia William Plummer EMAT 6500 Date last revised: July 28, 2013

Situation #1: Translating Functions Prepared at University of Georgia William Plummer EMAT 6500 Date last revised: July 28, 2013 Prompt An Algebra class is discussing the graphing of quadratic functions

Quadratic Functions. *These are all examples of polynomial functions.

Look at: f(x) = 4x-7 f(x) = 3 f(x) = x 2 + 4 Quadratic Functions *These are all examples of polynomial functions. Definition: Let n be a nonnegative integer and let a n, a n 1,..., a 2, a 1, a 0 be real

Chapter 1: Function Sense Activity 1.2 & 3

Name Chapter 1: Function Sense Activity 1.2 & 3 Learning Objectives 1. Determine the equation (symbolic representation) that defines a function. 2. Determine the domain and range of a function. 3. Identify

BLM Answers. BLM 4-1 Prerequisite Skills. BLM 4-3 Section 4.1 Modelling With Quadratic Relations. 10. a)

BLM Answers (page 1) BLM 4-1 Prerequisite Skills 1. a) 11.1 2.7 9.0 d) 20.2 2. a) 1.7 10.7 6.5 d) 25.1 3. a) 9.5 20.7 96 d) 31.85 4. a) 3x 6x 2 + 6x + 5 10x 2 2x + 6 d) 12x 2 + 10x 6 5. a) 5 0 12 d) 2

A-SSE.1.1, A-SSE.1.2-

Putnam County Schools Curriculum Map Algebra 1 2016-2017 Module: 4 Quadratic and Exponential Functions Instructional Window: January 9-February 17 Assessment Window: February 20 March 3 MAFS Standards

Introduction to Quadratic Functions

Introduction to Quadratic Functions The St. Louis Gateway Arch was constructed from 1963 to 1965. It cost 13 million dollars to build..1 Up and Down or Down and Up Exploring Quadratic Functions.................

Algebra II Lesson 10-5: Hyperbolas Mrs. Snow, Instructor

Algebra II Lesson 10-5: Hyperbolas Mrs. Snow, Instructor In this section, we will look at the hyperbola. A hyperbola is a set of points P in a plane such that the absolute value of the difference between

Protractor Dilation Similar figures Scale Factor Reduction Counterclockwise Enlargement Ratio Symmetry Line of symmetry line (reflectional)

1 Pre-AP Geometry Chapter 4 Test Review Standards/Goals: (Algebra I/II): D.1.a./A.REI.3./A.CED.1.: o I can solve a multi-step inequality in one variable. o I can solve and graph a compound inequality and

Unit #3: Quadratic Functions Lesson #13: The Almighty Parabola. Day #1

Algebra I Unit #3: Quadratic Functions Lesson #13: The Almighty Parabola Name Period Date Day #1 There are some important features about the graphs of quadratic functions we are going to explore over the

Course of study- Algebra Introduction: Algebra 1-2 is a course offered in the Mathematics Department. The course will be primarily taken by

Course of study- Algebra 1-2 1. Introduction: Algebra 1-2 is a course offered in the Mathematics Department. The course will be primarily taken by students in Grades 9 and 10, but since all students must

Notes Rules for Transformations of Functions If f x is the original functions, a > 0 and c > 0.

9.1.2 Parabola Investigation Do Now 1. Vertical means and horizontal is. 2. Another word for compress is. 3. Given the statement 0 < a < 1, a represents numbers like 4. Given the statement a > 1, a represents

Specific Objectives Students will understand that that the family of equation corresponds with the shape of the graph. Students will be able to create a graph of an equation by plotting points. In lesson

6.4 Vertex Form of a Quadratic Function

6.4 Vertex Form of a Quadratic Function Recall from 6.1 and 6.2: Standard Form The standard form of a quadratic is: f(x) = ax 2 + bx + c or y = ax 2 + bx + c where a, b, and c are real numbers and a 0.

Unit 3, Lesson 3.1 Creating and Graphing Equations Using Standard Form

Unit 3, Lesson 3.1 Creating and Graphing Equations Using Standard Form Imagine the path of a basketball as it leaves a player s hand and swooshes through the net. Or, imagine the path of an Olympic diver