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Definition--Functions and Relations Concepts--Distorting a Function Vertically
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Algebra >> Functions and Relations >> Relations and Functions

Definition--Functions and Relations Concepts--Distorting a Function Vertically

Distorting a Function Vertically

Distorting a Function Vertically Image

Topic

Functions and Relations

Definition

Distorting a function vertically involves stretching or compressing the graph of the function along the y-axis.

Description

Vertical distortions of functions are significant because they alter the output values while maintaining the overall shape of the graph. This is mathematically represented as 

kf(x)

where k is a constant. If k>1, the function stretches vertically, and if 0 < 𝑘 < 1, it compresses. Vertical distortions are used in various fields, including physics for wave transformations and in engineering for signal processing. For example, the function 2f(x) stretches the graph of f(x) by a factor of 2. Understanding vertical 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