Transformations of Functions 2: Dilations

Transform a function by dilation to see how changing the function changes the shape of the graph.

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Requirements

This activity helps students understand dilations of functions, where a dilation is a vertical or horizontal stretch or compression. When a function is multiplied by a number, the shape of the graph will retain its basic shape, though stretch or compress in different directions. By the end of the activity students will be able to identify a given function dilation, identify the way the graph will change and sketch a graph of the dilated function. This is the second of five activities about transformations of functions, focusing on: translations, dilations, reflections, all transformations, and inverses of functions.

» Lesson Plan and Student Assessment documents are also available.

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COMMON CORE STATE STANDARDS FOR MATHEMATICS (2010)

CCSS.Math.Content.HSF-BF.B.3 Identify the effect on the graph of replacing f(x) by f(x) + k, k f(x), f(kx), and f(x + k) for specific values of k (both positive and negative); find the value of k given the graphs. Experiment with cases and illustrate an explanation of the effects on the graph using technology. Include recognizing even and odd functions from their graphs and algebraic expressions for them.

Copyright
© Copyright The Concord Consortium

Record Link
<a href="">The Concord Consortium. Transformations of Functions 2: Dilations. Concord: The Concord Consortium, 2014, July 31.</a>

AIP
Transformations of Functions 2: Dilations (The Concord Consortium, Concord, 2014, July 31), WWW Document, (https://concord.org/).

AJP
Transformations of Functions 2: Dilations (The Concord Consortium, Concord, 2014, July 31), WWW Document, (https://concord.org/).

APA
Transformations of Functions 2: Dilations. (2014, July 31). Retrieved 2017, July 21, from The Concord Consortium: https://concord.org/

Disclaimer: The Concord Consortium offers citation styles as a guide only. We cannot offer interpretations about citations as this is an automated procedure.

Requirements

This activity runs entirely in a Web browser. Preferred browsers are: Google Chrome (versions 30 and above), Safari (versions 7 and above), Firefox (version 30 and above), Internet Explorer (version 10 or higher), and Microsoft's Edge.

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SmartGraphsThis resource is a part of the Concord Consortium's SmartGraphs project.

Grade Level
Middle School, High School
Subject
Mathematics
Focus Area
Modeling and Simulation
Rating
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