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# Quadratic Functions and Their Graphs

## Identify the intercepts, vertex, and axis of symmetry

Levels are CK-12'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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by CK-12 //basic
Learn to evaluate and graph quadratic functions by using tables.
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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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• 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

by CK-12 //basic
Explains several examples of graphing 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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• Video

## 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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## 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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## 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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## 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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## 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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## Quadratic Functions and Their Graphs Quiz

by CK-12 //basic
Quiz on Quadratic Functions and Their Graphs.
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• Real World Application

## The Great Escape!

by CK-12 //basic
Find out what part of the parabola guarantees a successful launch into space.
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• Flashcards

## Quadratic Functions and Their Graphs Flashcards

by CK-12 //basic