Display Title
Definition--Functions and Relations Concepts--Distorting a Function Horizontally
Display Title
Distorting a Function Horizontally
Topic
Functions and Relations
Definition
Distorting a function horizontally involves stretching or compressing the graph of the function along the x-axis.
Description
Horizontal distortions of functions are significant because they alter the input values while maintaining the overall shape of the graph. This is mathematically represented as
f(kx)
where k is a constant. If k > 1, the function compresses horizontally, and if 0 < 𝑘 < 1, it stretches.
Horizontal distortions are used in various fields, including physics for wave transformations and in engineering for signal processing. For example, the function f(2x) compresses the graph of f(x) by a factor of 2. Understanding horizontal distortions 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 |
|---|---|
| Grade Range | 6 - 9 |
| Curriculum Nodes |
Algebra • Functions and Relations • Relations and Functions |
| Copyright Year | 2021 |
| Keywords | definition, function, relations, glossary terms |
