4. Polynomial and Rational Functions

Determine a Quadratic Function's Minimum or Maximum

Quadratic Functions

Completing the Square and Vertex Form of Quadratic Equations

Find a" to determine whether vertex is a maximum or a minimum"

Maximum and Minimum Values of Quadratic Functions

Transformation of y = x^2 and Its Attributes

Find maxima and minima using vertex form

Understand horizontal scaling of quadratic equations

Conic Sections: Parabolas, Part 2  (Directrix and Focus)

Find the vertex of a graph and determine whether it is a maximum or minimum

Among all pairs of numbers whose difference is 14, find a pair whose product is as small as possible. What is the minimum product?

Identify features of a quadratic equation

Graphing Quadratic Functions - Example 1

How to find the Maximum & Minimum Values of Quadratic Functions

Graph quadratic functions

Characteristics of Parabolas

Find the Vertex of a Parabola by Using a Formula

 Formula to Find the Vertex of a Parabola

Graphing Equations by Plotting Points - Example 1

Application of quadratic function transformations

Graph quadratic functions using the vertex and another point

Optimization Problem

 Graphing a Quadratic Function from Standard Form

Conic Sections: Parabolas, Part 1

Graphing a Parabola

Vertex Form of a Quadratic Function

In Exercises 5–6, use the function’s equation, and not its graph, to find (a) the minimum or maximum value and where it occurs. (b) the function's domain and its range. f(x) = -x^2 + 14x - 106

Find the maximum or minimum value of a quadratic equation using vertex form: real-world application

Identifying Key Features of a Parabola

Graph of y = x^2 and Its Attributes

How to Find the Maximum or Minimum Value of a Quadratic Function Easily

Find axis of symmetry and vertex

Vertically translate quadratic equations

Learn the toughest concepts covered in Algebra with step-by-step video tutorials and practice problems by world-class tutors

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1. Fundamental Concepts of Algebra

2. Equations and Inequalities

3. Functions and Graphs

5. Exponential and Logarithmic Functions

6. Systems of Equations and Inequalities

7. Matrices and Determinants

8. Conic Sections

9. Sequences, Induction, and Probability

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Use Long Division to Divide Polynomials

Use Synthetic Division to Divide Polynomials

Evaluate a Polynomial Using the Remainder Theorem

Use the Factor Theorem to Solve a Polynomial Equation

Dividing Polynomials

Identify Polynomial Functions

Recognize Characteristics of Graphs of Polynomial Functions

Determine End Behavior

Use Factoring to Find Zeros of Polynomial Functions

Identify Zeros and Their Multiplicities

Use the Intermediate Value Theorem

Understand the Relationship Between Degree and Turning Points

Graph Polynomial Functions

Polynomial Functions and Their Graphs

Solve Polynomial Inequalities

Solve Rational Inequalities

 Problems Modeled by Polynomial or Rational Inequalities

Polynomial and Rational Inequalities

Find the Domains of Rational Functions

Use Arrow Notation

Identify Vertical Asymptotes

Identify Horizontal Asymptotes

Use Transformations to Graph Rational Functions

Graph Rational Functions

Identify Slant Asymptotes

Solve Applied Problems Involving Rational Functions

Rational Functions and Their Graphs

Recognize Characteristics of Parabolas

Graph Parabolas

Problems Involving a Quadratic Function's Minimum or Maximum

Solve Direct Variation Problems

Solve Inverse Variation Problems

Solve Combined Variation Problems

Solve Problems Involving Joint Variation

Modeling Using Variation

Use Rational Zero Theorem to Find Possible Rational Zeros

Find Zeros of a Polynomial Function

Solve Polynomial Equations

Use the Linear Factorization Theorem to Find Polynomials With Given Zeros

Use Descartes's Rule of Signs

Zeros of Polynomial Functions

General Chemistry

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General Biology

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Financial Accounting

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Psychology

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Anatomy & Physiology

College Algebra covers algebraic topics and skills necessary to succeed in college-level math

Organic Chemistry

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Analytical Chemistry

Study topics incliding trogonometric functions, identities and equations, solutions of triangles, complex numbers, and other topics as time permits

Trigonometry

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Precalculus

Biochemistry

Macroeconomics

Chemistry

Biology

Math

Business

Social Sciences

Michelle Barry Franco

Building Great Presentations

Eric Zackrison, PhD

Critical Thinking And Problem Solving

Sam Bennett

Embracing Times Of Uncertainty

Nicole Tetreault, PhD

Emotional Intelligence Basics

Eugene Choi, PharmD

Enhancing Your Critical Thinking Skills

Jason Richardson, PsyD

Habits To Win Every Day

Alyssa Lowery, PhD

Having Powerful Advanced Conversations

Don Gilman, EdD

How To Influence & Persuade

Amy Matthews

Leadership Skills For Rising Stars

Listening To Lead

Michael Shermer, PhD

Making Decisions Under Uncertainty

Lynne Hurdle

Mistakes To Avoid When Resolving Conflict

Michael Veltri

Overcoming Decision Making Traps

Mike Vardy

Prioritizing Effectively

Secrets Of Effective Prioritization

Strategies To Build Up Your Creativity

Tools For Decision Making

Tutti Taygerly

Unleash And Advance Your Creativity

Winning Collaboration: How To Work More Effectively With Different Personalities

Writing Emails People Want To Read

Critical Thinking

Self Management

Digital Literacy

Collaboration

Communication

Analytical Thinking

Leadership

Flexibility/Adaptability

Innovation

Eric Zackrison

Nicole Tetreault

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Introduction to Python

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Agile Project and Product Management

Agile & Product Management

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Data Analysis Fundamentals with Excel

Data Analysis - Excel

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