Characteristics: Tables Of Quadratics - Farwell

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Characteristics

A function is considered to be a quadratic function if the equation has a degree or highest exponent of 2.The standard form of a quadratic equation is y = ax2 + bx + c where a, b, c are real numbers and a0.All functions of this form have similar characteristics.

Tables of Quadratics

In table form, all quadratic functions have a common second difference. This can be useful not only in identifying if a certain set of data can be modeled by a quadratic function, but also in determining what quadratic function would model the data. The table below demonstrates a set of data that can be modeled by a quadratic function. Since the x-coordinates are going up by one every time, the constant second difference of the y -coordinates means this table can be modeled by a quadratic function.

◄ Overview Jump to... Jump to... Creation of Michigan Algebra I Pre-Assessment: Linear Multiple Choice Paper Pre-Assessment: Linear Unit Multiple Choice Paper Pre-Assessment: Linear Unit Multiple Choice Key Overview Independent & Dependent Variables Function Notation Solving for a Variable Finding Zeros Slope-Intercept Form Standard Form Point-Slope Form Domain & Range Inverses Parallel & Perpendicular Lines Tables Graphs Applications Solving Graphing Modeling Graphing Solving Using Substitution Solving Using Elimination Modeling Post-Assessment: Linear Multiple Choice Paper Post-Assessment: Linear Unit Multiple Choice Paper Post-Assessment: Linear Unit Multiple Choice Key Paper Post-Assessment: Linear Unit Short Answer Paper Post-Assessment: Linear Unit Short Answer Key Pre-Assessment: Quadratic Multiple Choice Paper Pre-Assessment: Quadratic Unit Multiple Choice Paper Pre-Assessment: Quadratic Unit Multiple Choice Key Overview Function Notation Adding & Subtracting Multiplying & Dividing Graphing Using Square Roots Factoring Completing the Square Quadratic Formula Foundations Vertex Form Transformations Factored Form Standard Form Domain & Range Inverses Tables Graphs Applications Which Function Is It? Post-Assessment: Quadratic Multiple Choice Paper Post-Assessment: Quadratic Unit Multiple Choice Paper Post-Assessment: Quadratic Unit Multiple Choice Key Paper Post-Assessment: Quadratic Unit Short Answer Paper Post-Assessment: Quadratic Unit Short Answer Key Pre-Assessment: Polynomial Multiple Choice Paper Pre-Assessment: Polynomial Unit Multiple Choice Paper Pre-Assessment: Polynomial Unit Multiple Choice Key Overview Characteristics Foundations Graphical Behavior Domain & Range Transformations Inverses Graphically Factor by Grouping Factoring Special Patterns Tables Graphs Applications Which Function Is It? Post-Assessment: Polynomial Multiple Choice Paper Post-Assessment: Polynomial Unit Multiple Choice Paper Post-Assessment: Polynomial Unit Multiple Choice Key Paper Post-Assessment: Polynomial Unit Short Answer Paper Post-Assessment: Polynomial Unit Short Answer Key Pre-Assessment: Power & Exponential Multiple Choice Paper Pre-Assessment: Power & Exponential Unit Multiple Choice Paper Pre-Assessment: Power & Exponential Unit Multiple Choice Key Overview Power & Exponential Functions Graphing Inverses Multipying & Dividing Rules Remaining Power Rules Zero & Negative Exponents Fractional Exponents Overview Multiplying & Dividing Adding & Subtracting Solving Equations Graphing Graphical Behavior Transformations Domain & Range Inverses Tables Graphs Exponential Growth Exponential Decay Compound Interest Which Function Is It? Post-Assessment: Power & Exponential Multiple Choice Paper Post-Assessment: Power & Exponential Unit Multiple Choice Paper Post-Assessment: Power & Exponential Unit Multiple Choice Key Paper Post-Assessment: Power & Exponential Unit Short Answer Paper Post-Assessment: Power & Exponential Unit Short Answer Key Pre-Assessment: Bivariate Multiple Choice Paper Pre-Assessment: Bivariate Unit Multiple Choice Paper Pre-Assessment: Bivariate Unit Multiple Choice Key Overview Displaying Data Plotting Data Pearson's Correlation Coefficient Linear Regression Piecewise Absolute Value Recursive Applications Which Function Is It? Post-Assessment: Bivariate Multiple Choice Paper Post-Assessment: Bivariate Unit Multiple Choice Paper Post-Assessment: Bivariate Unit Multiple Choice Key Paper Post-Assessment: Bivariate Unit Short Answer Paper Post-Assessment: Bivariate Unit Short Answer Key Algebra I Final Exam Algebra I Final Exam Key Function Notation ► Skip Table of contents

Table of contents

• Introduction
• Graphs of Quadratics
• Tables of Quadratics
• Video Lesson
• Sources