Yimin Math Centre. Year 10 Term 2 Homework. 3.1 Graphs in the number plane The minimum and maximum value of a quadratic function...

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

This is called the vertex form of the quadratic equation. To graph the equation

Name Period Date: Topic: 7-5 Graphing ( ) Essential Question: What is the vertex of a parabola, and what is its axis of symmetry? Standard: F-IF.7a Objective: Graph linear and quadratic functions and show

Warm-Up Exercises. Find the x-intercept and y-intercept 1. 3x 5y = 15 ANSWER 5; y = 2x + 7 ANSWER ; 7

Warm-Up Exercises Find the x-intercept and y-intercept 1. 3x 5y = 15 ANSWER 5; 3 2. y = 2x + 7 7 2 ANSWER ; 7 Chapter 1.1 Graph Quadratic Functions in Standard Form A quadratic function is a function that

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

WK # Given: f(x) = ax2 + bx + c

Alg2H Chapter 5 Review 1. Given: f(x) = ax2 + bx + c Date or y = ax2 + bx + c Related Formulas: y-intercept: ( 0, ) Equation of Axis of Symmetry: x = Vertex: (x,y) = (, ) Discriminant = x-intercepts: When

2. From General Form: y = ax 2 + bx + c # of x-intercepts determined by the, D =

Alg2H 5-3 Using the Discriminant, x-intercepts, and the Quadratic Formula WK#6 Lesson / Homework --Complete without calculator Read p.181-p.186. Textbook required for reference as well as to check some

UNIT 8: SOLVING AND GRAPHING QUADRATICS. 8-1 Factoring to Solve Quadratic Equations. Solve each equation:

UNIT 8: SOLVING AND GRAPHING QUADRATICS 8-1 Factoring to Solve Quadratic Equations Zero Product Property For all numbers a & b Solve each equation: If: ab 0, 1. (x + 3)(x 5) = 0 Then one of these is true:

Year 10 Term 2 Homework

Yimin Math Centre Year 10 Term 2 Homework Student Name: Grade: Date: Score: Table of contents 5 Year 10 Term 2 Week 5 Homework 1 5.1 Graphs in the number plane................................ 1 5.1.1 The

Algebra II Quadratic Functions

1 Algebra II Quadratic Functions 2014-10-14 www.njctl.org 2 Ta b le o f C o n te n t Key Terms click on the topic to go to that section Explain Characteristics of Quadratic Functions Combining Transformations

9.1: GRAPHING QUADRATICS ALGEBRA 1

9.1: GRAPHING QUADRATICS ALGEBRA 1 OBJECTIVES I will be able to graph quadratics: Given in Standard Form Given in Vertex Form Given in Intercept Form What does the graph of a quadratic look like? https://www.desmos.com/calculator

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

1. Answer: x or x. Explanation Set up the two equations, then solve each equation. x. Check

Thinkwell s Placement Test 5 Answer Key If you answered 7 or more Test 5 questions correctly, we recommend Thinkwell's Algebra. If you answered fewer than 7 Test 5 questions correctly, we recommend Thinkwell's

MATHS METHODS QUADRATICS REVIEW. A reminder of some of the laws of expansion, which in reverse are a quick reference for rules of factorisation

MATHS METHODS QUADRATICS REVIEW LAWS OF EXPANSION A reminder of some of the laws of expansion, which in reverse are a quick reference for rules of factorisation a) b) c) d) e) FACTORISING Exercise 4A Q6ace,7acegi

Algebra II Chapter 4: Quadratic Functions and Factoring Part 1

Algebra II Chapter 4: Quadratic Functions and Factoring Part 1 Chapter 4 Lesson 1 Graph Quadratic Functions in Standard Form Vocabulary 1 Example 1: Graph a Function of the Form y = ax 2 Steps: 1. Make

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

Chapter 10. Homework

Chapter 0 Homework Lesson 0- pages 538 5 Exercises. 2. Hyperbola: center (0, 0), y-intercepts at ±, no x-intercepts, the lines of symmetry are the x- and y-axes; domain: all real numbers, range: y 5 3

Chapter 2. Polynomial and Rational Functions. 2.2 Quadratic Functions

Chapter 2 Polynomial and Rational Functions 2.2 Quadratic Functions 1 /27 Chapter 2 Homework 2.2 p298 1, 5, 17, 31, 37, 41, 43, 45, 47, 49, 53, 55 2 /27 Chapter 2 Objectives Recognize characteristics of

2.2 Transformers: More Than Meets the y s

10 SECONDARY MATH II // MODULE 2 STRUCTURES OF EXPRESSIONS 2.2 Transformers: More Than Meets the y s A Solidify Understanding Task Writetheequationforeachproblembelow.Useasecond representationtocheckyourequation.

Warm Up. Factor the following numbers and expressions. Multiply the following factors using either FOIL or Box Method

Warm Up Factor the following numbers and expressions 1. 36 2. 36x 3 + 48x 2 + 24x Multiply the following factors using either FOIL or Box Method 3. (3x 2)(x 1) 4. (x 2)(x + 3) Objectives Recognize standard

Section 6.2: Properties of Graphs of Quadratic Functions. Vertex:

Section 6.2: Properties of Graphs of Quadratic Functions determine the vertex of a quadratic in standard form sketch the graph determine the y intercept, x intercept(s), the equation of the axis of symmetry,

Year 10 Term 3 Homework

Yimin Math Centre Year 10 Term 3 Homework Student Name: Grade: Date: Score: Table of contents 3 Year 10 Term 3 Week 3 Homework 1 3.1 Further trigonometry................................... 1 3.1.1 Trigonometric

Algebra 1 Semester 2 Final Review

Team Awesome 011 Name: Date: Period: Algebra 1 Semester Final Review 1. Given y mx b what does m represent? What does b represent?. What axis is generally used for x?. What axis is generally used for y?

CHAPTER 9: Quadratic Equations and Functions

Notes # CHAPTER : Quadratic Equations and Functions -: Exploring Quadratic Graphs A. Intro to Graphs of Quadratic Equations: = ax + bx + c A is a function that can be written in the form = ax + bx + c

Unit: Quadratic Functions

Unit: Quadratic Functions Learning increases when you have a goal to work towards. Use this checklist as guide to track how well you are grasping the material. In the center column, rate your understand

NO CALCULATOR ON ANYTHING EXCEPT WHERE NOTED

Algebra II (Wilsen) Midterm Review NO CALCULATOR ON ANYTHING EXCEPT WHERE NOTED Remember: Though the problems in this packet are a good representation of many of the topics that will be on the exam, this

Math 2201 Unit 4: Quadratic Functions. 16 Hours

Math 2201 Unit 4: Quadratic Functions 16 Hours 6.1: Exploring Quadratic Relations Quadratic Relation: A relation that can be written in the standard form y = ax 2 + bx + c Ex: y = 4x 2 + 2x + 1 ax 2 is

Summer Math Assignments for Students Entering Algebra II

Summer Math Assignments for Students Entering Algebra II Purpose: The purpose of this packet is to review pre-requisite skills necessary for the student to be successful in Algebra II. You are expected

CHAPTER 6 Quadratic Functions

CHAPTER 6 Quadratic Functions Math 1201: Linear Functions is the linear term 3 is the leading coefficient 4 is the constant term Math 2201: Quadratic Functions Math 3201: Cubic, Quartic, Quintic Functions

Summer Math Assignments for Students Entering Integrated Math

Summer Math Assignments for Students Entering Integrated Math Purpose: The purpose of this packet is to review pre-requisite skills necessary for the student to be successful in Integrated Math. You are

1.1 Graphing Quadratic Functions (p. 2) Definitions Standard form of quad. function Steps for graphing Minimums and maximums

1.1 Graphing Quadratic Functions (p. 2) Definitions Standard form of quad. function Steps for graphing Minimums and maximums Quadratic Function A function of the form y=ax 2 +bx+c where a 0 making a u-shaped

MS Algebra Ch Graph ax 2 + bx + c. Mr. Deyo

MS Algebra Ch. 10.2 Graph ax 2 + bx + c Mr. Deyo Learning Target By the end of the period, I will graph quadratic equations in the standard form of y = ax 2 + bx + c. I will demonstrate this by completing

UNIT P1: PURE MATHEMATICS 1 QUADRATICS

QUADRATICS Candidates should able to: carr out the process of completing the square for a quadratic polnomial, and use this form, e.g. to locate the vertex of the graph of or to sketch the graph; find

Lesson 6. Opening Exercise 1. Without graphing, state the vertex for each of the following quadratic equations.

: Further Exploration of Vertex Form, yy = aa(xx hh) + kk Opening Exercise 1. Without graphing, state the vertex for each of the following quadratic equations. A. yy = (xx 5) + 3 B. yy = xx.5 C. yy = (xx

EXERCISE SET 10.2 MATD 0390 DUE DATE: INSTRUCTOR

EXERCISE SET 10. STUDENT MATD 090 DUE DATE: INSTRUCTOR You have studied the method known as "completing the square" to solve quadratic equations. Another use for this method is in transforming the equation

Section 4.4: Parabolas

Objective: Graph parabolas using the vertex, x-intercepts, and y-intercept. Just as the graph of a linear equation y mx b can be drawn, the graph of a quadratic equation y ax bx c can be drawn. The graph

3.1 INTRODUCTION TO THE FAMILY OF QUADRATIC FUNCTIONS

3.1 INTRODUCTION TO THE FAMILY OF QUADRATIC FUNCTIONS Finding the Zeros of a Quadratic Function Examples 1 and and more Find the zeros of f(x) = x x 6. Solution by Factoring f(x) = x x 6 = (x 3)(x + )

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)

Mathematical Reasoning. Lesson 37: Graphing Quadratic Equations. LESSON 37: Graphing Quadratic Equations

LESSON 37: Graphing Quadratic Equations Weekly Focus: quadratic equations Weekly Skill: graphing Lesson Summary: For the warm-up, students will solve a problem about mean, median, and mode. In Activity

Polynomial and Rational Functions. Copyright Cengage Learning. All rights reserved.

2 Polynomial and Rational Functions Copyright Cengage Learning. All rights reserved. 2.1 Quadratic Functions Copyright Cengage Learning. All rights reserved. What You Should Learn Analyze graphs of quadratic

Lesson 7. Opening Exercise Warm Up 1. Without graphing, state the vertex for each of the following quadratic equations.

: Further Explorations of Vertex Form, yy = aa(xx hh) + kk Opening Exercise Warm Up 1. Without graphing, state the vertex for each of the following quadratic equations. A. yy = (xx 5) + 3 B. yy = xx.5

School Year:

School Year: 2010 2011 1 McDougal Littell CA Math Algebra 1 Pacing Guide Begin First Semester During the first two weeks of school, teachers will work with students on study skills and diagnostic assessments

practice: quadratic functions [102 marks]

practice: quadratic functions [102 marks] A quadratic function, f(x) = a x 2 + bx, is represented by the mapping diagram below. 1a. Use the mapping diagram to write down two equations in terms of a and

Section 7.2 Characteristics of Quadratic Functions

Section 7. Characteristics of Quadratic Functions A QUADRATIC FUNCTION is a function of the form " # $ N# 1 & ;# & 0 Characteristics Include:! Three distinct terms each with its own coefficient:! An x

Replacing f(x) with k f(x) and. Adapted from Walch Education

Replacing f(x) with k f(x) and f(k x) Adapted from Walch Education Graphing and Points of Interest In the graph of a function, there are key points of interest that define the graph and represent the characteristics

3.1 Investigating Quadratic Functions in Vertex Form

Math 2200 Date: 3.1 Investigating Quadratic Functions in Vertex Form Degree of a Function - refers to the highest exponent on the variable in an expression or equation. In Math 1201, you learned about

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

Name: Chapter 7 Review: Graphing Quadratic Functions

Name: Chapter Review: Graphing Quadratic Functions A. Intro to Graphs of Quadratic Equations: = ax + bx+ c A is a function that can be written in the form = ax + bx+ c where a, b, and c are real numbers

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,

9.1 Linear Inequalities in Two Variables Date: 2. Decide whether to use a solid line or dotted line:

9.1 Linear Inequalities in Two Variables Date: Key Ideas: Example Solve the inequality by graphing 3y 2x 6. steps 1. Rearrange the inequality so it s in mx ± b form. Don t forget to flip the inequality

3, 10,( 2, 4) Name. CP Algebra II Midterm Review Packet Unit 1: Linear Equations and Inequalities. Solve each equation. 3.

Name CP Algebra II Midterm Review Packet 018-019 Unit 1: Linear Equations and Inequalities Solve each equation. 1. x. x 4( x 5) 6x. 8x 5(x 1) 5 4. ( k ) k 4 5. x 4 x 6 6. V lhw for h 7. x y b for x z Find

[The following questions were adapted from Polygraph: Parabolas, Part 2]

Opening Exploration 1. Go to https://student.desmos.com and use the class code: to play Polygraph: Parabolas. A description of the game is given below. [The following questions were adapted from https://teacher.desmos.com/activitybuilder/custom/574f12421390db611564fa32#

UNIT 5 QUADRATIC FUNCTIONS Lesson 6: Analyzing Quadratic Functions Instruction

Prerequisite Skills This lesson requires the use of the following skills: factoring quadratic expressions finding the vertex of a quadratic function Introduction We have studied the key features of the

More Ways to Solve & Graph Quadratics The Square Root Property If x 2 = a and a R, then x = ± a

More Ways to Solve & Graph Quadratics The Square Root Property If x 2 = a and a R, then x = ± a Example: Solve using the square root property. a) x 2 144 = 0 b) x 2 + 144 = 0 c) (x + 1) 2 = 12 Completing

ALGEBRA 2 W/ TRIGONOMETRY MIDTERM REVIEW

Name: Block: ALGEBRA W/ TRIGONOMETRY MIDTERM REVIEW Algebra 1 Review Find Slope and Rate of Change Graph Equations of Lines Write Equations of Lines Absolute Value Functions Transformations Piecewise Functions

Module 3: Graphing Quadratic Functions

Haberman MTH 95 Section V Quadratic Equations and Functions Module 3 Graphing Quadratic Functions In this module, we'll review the graphing quadratic functions (you should have studied the graphs of quadratic

You should be able to plot points on the coordinate axis. You should know that the the midpoint of the line segment joining (x, y 1 1

Name GRAPHICAL REPRESENTATION OF DATA: You should be able to plot points on the coordinate axis. You should know that the the midpoint of the line segment joining (x, y 1 1 ) and (x, y ) is x1 x y1 y,.

UNIT NUMBER 5.6. GEOMETRY 6 (Conic sections - the parabola) A.J.Hobson

JUST THE MATHS UNIT NUMBER 5.6 GEMETRY 6 (Conic sections - the parabola) b A.J.Hobson 5.6.1 Introduction (the standard parabola) 5.6.2 ther forms of the equation of a parabola 5.6. Exercises 5.6.4 Answers

Properties of Graphs of Quadratic Functions

H e i g h t (f t ) Lesson 2 Goal: Properties of Graphs of Quadratic Functions Identify the characteristics of graphs of quadratic functions: Vertex Intercepts Domain and Range Axis of Symmetry and use

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

Section 18-1: Graphical Representation of Linear Equations and Functions

Section 18-1: Graphical Representation of Linear Equations and Functions Prepare a table of solutions and locate the solutions on a coordinate system: f(x) = 2x 5 Learning Outcome 2 Write x + 3 = 5 as

4-1 (Part 2) Graphing Quadratics, Interpreting Parabolas

4-1 (Part 2) Graphing Quadratics, Interpreting Parabolas Objectives Students will be able to: Find the vertex and y-intercept of a parabola Graph a parabola Use quadratic models to analyze problem situations.

Chapter 2: Polynomial and Rational Functions Power Standard #7

Chapter 2: Polynomial and Rational s Power Standard #7 2.1 Quadratic s Lets glance at the finals. Learning Objective: In this lesson you learned how to sketch and analyze graphs of quadratic functions.

Algebra I. Slide 1 / 137. Slide 2 / 137. Slide 3 / 137. Quadratic & Non-Linear Functions. Table of Contents

Slide 1 / 137 Slide 2 / 137 Algebra I Quadratic & Non-Linear Functions 2015-11-04 www.njctl.org Table of Contents Slide 3 / 137 Click on the topic to go to that section Key Terms Explain Characteristics

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

Section 6.2 Properties of Graphs of Quadratic Functions soln.notebook January 12, 2017

Section 6.2: Properties of Graphs of Quadratic Functions 1 Properties of Graphs of Quadratic Functions A quadratic equation can be written in three different ways. Each version of the equation gives information

Amplifying an Instructional Task Algebra II Example

Original Task The student is expected to write the equation of a parabola using given attributes, including vertex, focus, directrix, axis of symmetry, and direction of opening. A(4)(B) Write the equations

2/3 Unit Math Homework for Year 12

Yimin Math Centre 2/3 Unit Math Homework for Year 12 Student Name: Grade: Date: Score: Table of contents 12 Trigonometry 2 1 12.1 The Derivative of Trigonometric Functions....................... 1 12.2

Mathematics Scope & Sequence Algebra I

Mathematics Scope & Sequence 2016-17 Algebra I Revised: June 20, 2016 First Grading Period (24 ) Readiness Standard(s) Solving Equations and Inequalities A.5A solve linear equations in one variable, including

Graphs of Equations. MATH 160, Precalculus. J. Robert Buchanan. Fall Department of Mathematics. J. Robert Buchanan Graphs of Equations

Graphs of Equations MATH 160, Precalculus J. Robert Buchanan Department of Mathematics Fall 2011 Objectives In this lesson we will learn to: sketch the graphs of equations, find the x- and y-intercepts

This assignment is due the first day of school. Name:

This assignment will help you to prepare for Geometry A by reviewing some of the topics you learned in Algebra 1. This assignment is due the first day of school. You will receive homework grades for completion

5.1 Introduction to the Graphs of Polynomials

Math 3201 5.1 Introduction to the Graphs of Polynomials In Math 1201/2201, we examined three types of polynomial functions: Constant Function - horizontal line such as y = 2 Linear Function - sloped line,

1.1 Functions. Cartesian Coordinate System

1.1 Functions This section deals with the topic of functions, one of the most important topics in all of mathematics. Let s discuss the idea of the Cartesian coordinate system first. Cartesian Coordinate

KEY Algebra: Unit 10 Graphing Quadratic Equations & other Relations

Name: KEY Algebra: Unit 10 Graphing Quadratic Equations & other Relations Date: Test Bank Part I: Answer all 15 questions in this part. Each correct answer will receive credits. No partial credit will

Section 9.3 Graphing Quadratic Functions

Section 9.3 Graphing Quadratic Functions A Quadratic Function is an equation that can be written in the following Standard Form., where a 0. Every quadratic function has a U-shaped graph called a. If the

HOSTOS COMMUNITY COLLEGE DEPARTMENT OF MATHEMATICS. College Algebra with Trigonometric Functions

HOSTOS COMMUNITY COLLEGE DEPARTMENT OF MATHEMATICS Math 150 College Algebra with Trigonometric Functions CREDIT HOURS: 4.0 EQUATED HOURS: 4.0 CLASS HOURS: 4.0 PREREQUISITE: Passing Mat 15 or mat 20 or

MATH 110 analytic geometry Conics. The Parabola

1 MATH 11 analytic geometry Conics The graph of a second-degree equation in the coordinates x and y is called a conic section or, more simply, a conic. This designation derives from the fact that the curve

Chapter 12: Quadratic and Cubic Graphs

Chapter 12: Quadratic and Cubic Graphs Section 12.1 Quadratic Graphs x 2 + 2 a 2 + 2a - 6 r r 2 x 2 5x + 8 2y 2 + 9y + 2 All the above equations contain a squared number. They are therefore called quadratic

F.BF.B.3: Graphing Polynomial Functions

F.BF.B.3: Graphing Polynomial Functions 1 Given the graph of the line represented by the equation f(x) = 2x + b, if b is increased by 4 units, the graph of the new line would be shifted 4 units 1) right

MAC 1105 Fall Term 2018

MAC 1105 Fall Term 2018 Each objective covered in MAC 1105 is listed below. Along with each objective is the homework list used with MyMathLab (MML) and a list to use with the text (if you want to use

Sketching graphs of polynomials

Sketching graphs of polynomials We want to draw the graphs of polynomial functions y = f(x). The degree of a polynomial in one variable x is the highest power of x that remains after terms have been collected.

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

Vertex maximum or minimum Axis of Symmetry OPENS: UP MINIMUM

5.1 GRAPHING QUADRATIC FUNCTIONS IN STANDARD FORM & MUTIPLYING BINOMIALS Standard Form of a Quadratic: y ax bx c or f x ax bx c ex. y x 5x 13 a= b= c=. Every function/graph in the Quadratic family originates

Quadratics and their Properties

Algebra 2 Quadratics and their Properties Name: Ms. Williams/Algebra 2 Pd: 1 Table of Contents Day 1: COMPLETING THE SQUARE AND SHIFTING PARABOLAS SWBAT: Write a quadratic from standard form to vertex

3.1 Quadratic Functions and Models

3.1 Quadratic Functions and Models Objectives: 1. Identify the vertex & axis of symmetry of a quadratic function. 2. Graph a quadratic function using its vertex, axis and intercepts. 3. Use the maximum

Pre-Calculus 11: Final Review

Pre-Calculus 11 Name: Block: FORMULAS Sequences and Series Pre-Calculus 11: Final Review Arithmetic: = + 1 = + or = 2 + 1 Geometric: = = or = Infinite geometric: = Trigonometry sin= cos= tan= Sine Law:

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 Graphs and Lines

Section 1.1 - Graphs and Lines The first chapter of this text is a review of College Algebra skills that you will need as you move through the course. This is a review, so you should have some familiarity

IB Math SL Year 2 Name: Date: 2-1: Laws of Exponents, Equations with Exponents, Exponential Function

Name: Date: 2-1: Laws of Exponents, Equations with Exponents, Exponential Function Key Notes What do I need to know? Notes to Self 1. Laws of Exponents Definitions for: o Exponent o Power o Base o Radical

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

Algebra Ch Graphing ax 2 + c. Mr. Deyo

Algebra Ch. 10.1 Graphing ax 2 + c Mr. Deyo Learning Target By the end of the period, students will graph quadratic equations in the form of ax 2 + c. They will demonstrate this by completing Four Square

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

[CALCULATOR OPERATIONS]

Example 1: Set up a table of values (with x-values between 3 and 3) and use it to draw the graph of 3. Press MENU 2: VIEW A: SHOW TABLE 1. Select the GRAPHS option: Or Press MENU 5: TRACE 1: GRAPH TRACE

x 2 + 8x - 12 = 0 Aim: To review for Quadratic Function Exam #1 Homework: Study Review Materials

Aim: To review for Quadratic Function Exam #1 Homework: Study Review Materials Do Now - Solve using any strategy. If irrational, express in simplest radical form x 2 + 8x - 12 = 0 Review Topic Index 1.

Algebra. Chapter 4: FUNCTIONS. Name: Teacher: Pd:

Algebra Chapter 4: FUNCTIONS Name: Teacher: Pd: Table of Contents Day1: Chapter 4-1: Relations SWBAT: (1) Identify the domain and range of relations and functions (2) Match simple graphs with situations

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.

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

CP1 Math 2 Cumulative Exam Review

Name February 9-10, 2016 If you already printed the online copy of this document, there are answer corrections on pages 4 and 8 (shaded). Deductive Geometry (Ch. 6) Writing geometric proofs Triangle congruence

1 of 21 8/6/2018, 8:17 AM

1 of 1 8/6/018, 8:17 AM Student: Date: Instructor: Alfredo Alvarez Course: Math 1314 Summer 018 Assignment: math 131437 Free Response with Help 51 1. Solve the equation by factoring. 9x + 1x 8 = 0 The

Math 083 Final Exam Practice

Math 083 Final Exam Practice Name: 1. Simplify the expression. Remember, negative exponents give reciprocals.. Combine the expressions. 3. Write the expression in simplified form. (Assume the variables

Graphical Methods Booklet

Graphical Methods Booklet This document outlines the topic of work and the requirements of students working at New Zealand Curriculum level 7. Parabola, vertex form y = x 2 Vertex (0,0) Axis of symmetry