# 2.2: Graphs of Quadratic Functions

Difficulty Level:

**At Grade**Created by: CK-12axis of symmetry

axis of symmetry

The axis of symmetry of a parabola is a vertical line that passes through the vertex of the parabola. The parabola is symmetrical about this line.factored form

factored form

The factored form of a quadratic function is , where and are the roots of the function.Intercept

Intercept

The intercepts of a curve are the locations where the curve intersects the and axes. An intercept is a point at which the curve intersects the -axis. A intercept is a point at which the curve intersects the -axis.Maximum

Maximum

The maximum is the highest point of a graph. The maximum will yield the largest value of the range.Maximum/Minimum

Maximum/Minimum

The maximum is the highest point of a function and the minimum is the lowest point of a function.Minimum

Minimum

The minimum is the lowest point of a graph. The minimum will yield the smallest value of the range.Parabola

Parabola

A parabola is the characteristic shape of a quadratic function graph, resembling a "U".quadratic function

quadratic function

A quadratic function is a function that can be written in the form , where , , and are real constants and .standard form

standard form

The standard form of a quadratic function is .Transformations

Transformations

Transformations are used to change the graph of a parent function into the graph of a more complex function.Vertex

Vertex

The vertex of a parabola is the highest or lowest point on the graph of a parabola. The vertex is the maximum point of a parabola that opens downward and the minimum point of a parabola that opens upward.Vertex form

Vertex form

The vertex form of a quadratic function is , where is the vertex of the parabola.### Image Attributions

## Description

Review of quadratic function graphing methods.

## Learning Objectives

None

## Difficulty Level:

At Grade## Tags:

## Subjects:

## Concept Nodes:

## Date Created:

Nov 01, 2012## Last Modified:

Jun 08, 2015## Vocabulary

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