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# Quadratic Functions and Their Graphs

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Levels are CK12's student achievement levels.
Basic Students matched to this level have a partial mastery of prerequisite knowledge and skills fundamental for proficient work.
At Grade (Proficient) Students matched to this level have demonstrated competency over challenging subject matter, including subject matter knowledge, application of such knowledge to real-world situations, and analytical skills appropriate to subject matter.
Advanced Students matched to this level are ready for material that requires superior performance and mastery.

## Quadratic Functions and Their Graphs

by CK-12 //basic

Learn the anatomy of the graph of a quadratic function.

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## Quadratic Functions and Their Graphs

Graph and compare graphs of quadratic functions in the coordinate plane.

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## Finding the Parts of a Parabola

This lesson covers how to find the x-intercepts, vertex, axis of symmetry, and y-intercept of a parabola.

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## Graphs of Basic Quadratic Functions

This concept introduces the quadratic function.

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by CK-12 //basic

Evaluate and graph quadratic functions by using tables.

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• Video

## Analyzing Maximum v. Minimum - Overview

by CK-12 //basic

Overview

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• Video

by CK-12 //basic

Demonstrates how to graph a quadratic function using a table.

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• Video

## Graph a Quadratic Function in General Form

Learn how to graph a quadratic equation in general form by finding several key things: the intercepts, the equation of the axis, and the vertex.

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• Video

by CK-12 //basic

Explains several examples of graphing quadratic functions.

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• Video

## Graphs of Quadratic Functions: A Sample Application

This video demonstrates a sample use of graphs of quadratic functions.

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## Graphs of Quadratic Functions: An Explanation of the Concept

This video provides an explanation of the concept of graphs of quadratic functions.

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• Video

## Vertex, axis of symmetry, and x-intercepts of quadratics - Example 2

by CK-12 //basic

Word problems - Finding minimums and maximums

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• Video

## Analyzing Maximum v. Minimum - Example 1

by CK-12 //basic

Determining if a Quadratic Function has a Maximum or Minimum

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• Video

## Analyzing Maximum v. Minimum - Example 2

by CK-12 //basic

Finding the Maximum or Minimum Given a Quadratic Function

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## Analyzing Maximum v. Minimum - Example 3

by CK-12 //basic

Finding the Maximum or Minimum Given a Word Problem

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• Video

## Graphing Quadratic Functions of the Form y = ax^2 - Overview

by CK-12 //basic

Overview

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• Video

## Graphing Quadratic Functions of the Form y = ax^2 - Example 1

by CK-12 //basic

Graphing y = ax^(2 )Using a Table of Values |a| > 0

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• Video

## Graphing Quadratic Functions of the Form y = ax^2 - Example 2

by CK-12 //basic

Graphing y = ax^(2 )Using a Table of Values |a| < 1

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• Video

## Graphing Quadratic Functions of the Form y = ax^2 + c - Overview

by CK-12 //basic

Overview

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• Video

## Graphing Quadratic Functions of the Form y = ax^2 + c - Example 1

by CK-12 //basic

Graphing y = ax^(2) + c Using a Table of Values (c > 0)

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• Video

## Graphing Quadratic Functions of the Form y = ax^2 + c - Example 2

by CK-12 //basic

Graphing y = ax^(2) + c Using a Table of Values (c < 0)

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• Video

## Graphing Quadratic Functions of the Form y = ax^2 + bx + c - Overview

by CK-12 //basic

Overview

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• Video

## Graphing Quadratic Functions of the Form y = ax^2 + bx + c - Example 1

by CK-12 //basic

Graphing y = ax^(2) + bx + c Using a Table of Values

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• Video

## Graphing Quadratic Functions of the Form y = ax^2 + bx + c - Example 2

by CK-12 //basic

Graphing y = ax^(2) + bx + c Using the Vertex and Axis of Symmetry

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• Video

Overview

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## Quadratic Functions and Their Graphs Quiz

by CK-12 //basic

Quiz on Quadratic Functions and Their Graphs.

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• Practice

## Quadratic Functions and Their Graphs Practice

by CK-12 //basic

Practice Quadratic Functions and Their Graphs questions

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• Critical Thinking

## Quadratic Functions and Their Graphs Discussion Questions

A list of student-submitted discussion questions for Quadratic Functions and Their Graphs.

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## Quadratic Functions and Their Graphs

by CK-12 //basic

Students will generate questions, activate prior knowledge and collect information to answer these questions.

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Summarize the main idea of a reading, create visual aids, and come up with new questions using a Four Square Concept Matrix.

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Come up with questions about a topic and learn new vocabulary to determine answers using the table

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## Finding the Parts of a Parabola Double Entry Diary

To have students generate connections between specific points in the concept’s reading and their own personal experiences using a Double Entry Diary.

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• Real World Application

Students will understand the benefits of using solar panels for their home.

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• Real World Application

## Keep the Focus

Learn how satellites depend on the properties of parabolas to effectively transmit signals to your electronic devices.

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• Real World Application

## Parabolic Perfection

You can use the mathematics of parabolas to improve your free throw shooting in basketball.

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• Real World Application

## Free Falling

Find out how jet planes can simulate the sensation of weightlessness by flying in parabolas.

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• Real World Application

## Comets and Periods

Find out what happens when comets cross paths with other celestial bodies.

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• Simulation

## Equation Grapher

by CK-12 //basic

Explore the relationship of between each of the variables in the quadratic function and how they affect the appearance of the graph in this simulation.

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• Study Guide

## Graphing Quadratic Equations Study Guide

This study guide takes a look at graphing quadratic functions and identifying features of the parabola. It also reviews how to solve quadratic functions by graphing.

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Explore what happens when the coefficients of a quadratic equation are changed.

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• Flashcards

## Quadratic Functions and Their Graphs Flashcards

by CK-12 //basic