Dr. Claude S. Moore Cape Fear Community College

Slides:

Advertisements

Similar presentations

Vocabulary axis of symmetry standard form minimum value maximum value.

Advertisements

5.2 Properties of Parabolas

5.1 Modeling Data with Quadratic Functions. Quadratic Function: f(x) = ax 2 + bx + c a cannot = 0.

Quadratic Functions.

Dr. Claude S. Moore Danville Community College

E - BOOK FOR COLLEGE ALGEBRA King Fahd University of Petroleum & Minerals 3.1 E - BOOK FOR COLLEGE ALGEBRA King Fahd University of Petroleum & Minerals.

12-4 Quadratic Functions CA Standards 21.0 and 22.0 CA Standards 21.0 and 22.0 Graph quadratic functions; know that their roots are the x-intercepts; use.

Chapter 2 Polynomial and Rational Functions 2.1 Quadratic Functions Definition of a polynomial function Let n be a nonnegative integer so n={0,1,2,3…}

Quadratic Functions Objectives: Graph a Quadratic Function using Transformations Identify the Vertex and Axis of Symmetry of a Quadratic Function Graph.

ACT – Class Opener: If a circle’s area is 16

Polynomial Function A polynomial function of degree n, where n is a nonnegative integer, is a function defined by an expression of the form where.

9-1 Graphing Quadratic Functions

Chapter 2.  A polynomial function has the form  where are real numbers and n is a nonnegative integer. In other words, a polynomial is the sum of one.

Quadratics Vocabulary 2. Identify the following: What type of function Positive/Negative Maximum/Minimum Roots/Solutions/Zeros Vertex Axis of Symmetry.

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.

Quadratic Functions. How Parabolas Open A parabola will open upward if the value of a in your equations is positive-this type of parabola will have.

Graphing Quadratic Functions (2.1.1) October 1st, 2015.

2.3 Quadratic Functions. A quadratic function is a function of the form:

Advanced Algebra Notes

$200 $400 $600 $800 $1000 $200 $400 $600 $800 $1000 $200 $400 $600 $800 $1000 $200 $400 $600 $800 $1000 $200 $400 $600 $800 $1000 $200 $400.

Chapter 2 POLYNOMIAL FUNCTIONS. Polynomial Function A function given by: f(x) = a n x n + a n-1 x n-1 +…+ a 2 x 2 + a 1 x 1 + a 0 Example: f(x) = x 5.

Unit 3-1: Graphing Quadratic Functions Learning Target: I will graph a quadratic equation and label its key features.

Sample Problems for Class Review

Graphing quadratic functions part 2. X Y I y = 3x² - 6x + 2 You have to find the vertex before you can graph this function Use the formula -b 2a a = 3.

CHAPTER 10 LESSON OBJECTIVES. Objectives 10.1 Students will be able to: Identify quadratic functions and determine whether they have a minimum or maximum.

5-1 Graphing Quadratic Functions Algebra II CP. Vocabulary Quadratic function Quadratic term Linear term Constant term Parabola Axis of symmetry Vertex.

Quadratic Functions. 1. The graph of a quadratic function is given. Choose which function would give you this graph:

Pre-Cal Chapter 2 Polynomial, Power, and Rational Functions Section 2.1.

Chapter 4: Polynomials Quadratic Functions (Section 4.1)

Solving Quadratic Equations by Graphing Need Graph Paper!!! Objective: 1)To write functions in quadratic form 2)To graph quadratic functions 3)To solve.

Factor each polynomial.

Solving Quadratic Equation by Graphing

Chapter 3 Quadratic Functions

5-2 Properties of Parabolas

Quadratic Functions, Quadratic Expressions, Quadratic Equations

Algebra Lesson 10-2: Graph y = ax2 + bx + c

Warm Up /05/17 1. Evaluate x2 + 5x for x = -4 and x = 3. __; ___

Introductory Algebra Glossary

Section 5.1 Modeling Data with Quadratic Functions Objective: Students will be able to identify quadratic functions and graphs, and to model data with.

Algebra I Section 9.3 Graph Quadratic Functions

Warm Up /31/17 1. Evaluate x2 + 5x for x = 4 and x = –3. __; ___

Quadratic Functions and Their Properties

4.2 a Standard Form of a Quadratic Function

Notes 3.3 Quadratic Functions

Solving Quadratic Equation and Graphing

Solving Quadratic Equation by Graphing

Solving a Quadratic Equation by Graphing

9-1 Exploring Quadratic Graphs

Quadratic Functions.

Lesson 2.1 Quadratic Functions

3.1 Quadratic Functions and Models

Graphing Quadratic Functions (2.1.1)

(2.1 in the orange textbook) Quadratic Functions and Their Properties

Section 9.1 Day 4 Graphing Quadratic Functions

Review: Simplify.

Warm-up: Sketch y = 3|x – 1| – 2

Section 9.1 Day 2 Graphing Quadratic Functions

Objectives Find the zeros of a quadratic function from its graph.

Section 9.1 Day 3 Graphing Quadratic Functions

Solving Quadratic Equation

Nora Ferguson Algebra 2 Parabolas in my World.

3.1 Quadratic Functions and Models

Algebra 2 – Chapter 6 Review

Warm up Graph the Function using a table Use x values -1,0,1,2,3

Quadratic Functions and Their Properties

QUADRATIC FUNCTION PARABOLA.

Quadratic Functions and Their Properties

Quadratic Functions and Equations Lesson 1: Graphing Quadratic Functions.

Presentation transcript:

Dr. Claude S. Moore Cape Fear Community College Precalculus Algebra Quadratic Functions Dr. Claude S. Moore Cape Fear Community College

Polynomial Function A polynomial function of degree n is where the a’s are real numbers and the n’s are nonnegative integers and an  0.

a, b, and c are real numbers and a  0. Quadratic Function A polynomial function of degree 2 is called a quadratic function. It is of the form a, b, and c are real numbers and a  0.

Axis of Symmetry For a quadratic function of the standard form gives the axis of symmetry.

axis of symmetry: x = h vertex: (h, k) Standard Form A quadratic function of the form is in vertex form. axis of symmetry: x = h vertex: (h, k)

Characteristics of Parabola vertex: maximum vertex: minimum a < 0