# Reflecting a Function

## Topic

Functions and Relations

## Definition

Reflecting a function involves flipping the graph of the function over a specified axis.

## Description

Reflecting functions is significant in mathematics because it helps in understanding the symmetry and transformations of functions. A function can be reflected over the x-axis or y-axis, changing its orientation. For example, reflecting the function

f(x) = x2

over the x-axis results in −f(x) = −x2. Reflections are used in various fields, including physics for wave transformations and in computer graphics for image processing. Understanding reflections is essential for analyzing and manipulating functions in mathematical modeling and real-world applications.

For a complete collection of terms related to functions and relations click on this link: Functions and Relations Collection

Common Core Standards CCSS.MATH.CONTENT.8.F.A.1, CCSS.MATH.CONTENT.8.F.B.5, CCSS.MATH.CONTENT.HSF.IF.A.1, CCSS.MATH.CONTENT.HSF.IF.A.2, CCSS.MATH.CONTENT.HSF.IF.C.7, CCSS.MATH.CONTENT.HSF.BF.A.1, CCSS.MATH.CONTENT.HSF.BF.B.3, CCSS.MATH.CONTENT.HSF.BF.B.4 6 - 9 Algebra     • Functions and Relations         • Relations and Functions 2021 definition, function, relations, glossary terms