Description
In this lesson, students study the effect a horizontal scaling by scale factor 𝑘 has on the graph of an equation 𝑦 = 𝑓(𝑥). For example, if 0 < 𝑘 < 1, a horizontal scaling by 𝑘 horizontally shrinks any geometric figure in the Cartesian plane, including figures that are graphs of functions. The horizontal scaling of a graph corresponds to changing the equation from 𝑦 = 𝑓(𝑥) to 𝑦 = 𝑓 ( 1 𝑘 𝑥). For values of scale factor 𝑘 where 𝑘 > 1, the graph of 𝑦 = 𝑓 ( 1 𝑘 𝑥) is a horizontal stretch of the graph of 𝑦 = 𝑓(𝑥) by a factor of 𝑘.
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Credits
From EngageNY.org of the New York State Education Department. Algebra I Module 3, Topic C, Lesson 19.
Available from engageny.org/resource/algebra-i-module-3-topic-c-lesson-19; accessed 2015-05-29.
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