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Name Date Transformations of Graphs of Linear Functions3.6For use with Exploration 3.6Essential Question How does the graph of the linear function f (x) x compare to the graphs of g (x) f (x) + c
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How to fill out transformations of graphs of

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To fill out transformations of graphs of, follow these steps:
02
Identify the original function. This is the function before any transformations have been applied.
03
Determine the type of transformations needed. This can include translations, reflections, stretches, and compressions.
04
Apply the necessary transformation rules to the original function. Each type of transformation has its own set of rules.
05
Determine the new equation of the transformed function. This can be done by substituting the transformed values into the original equation.
06
Plot the transformed function on a graph, using the transformed equation and the new x and y coordinates.
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Analyze the graph to understand the effects of the transformations. Look for changes in shape, position, and scale.

Who needs transformations of graphs of?

01
Transformations of graphs are useful for mathematicians, scientists, engineers, and anyone working with functions and equations.
02
Some specific examples of who needs transformations of graphs are:
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- Architects who need to visually represent the changes in shape and position of building structures.
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- Economists who need to analyze the effects of transformations on economic models.
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- Game developers who need to create visually appealing and realistic graphics by applying transformations to objects in the game world.
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- Students studying calculus or advanced mathematics who need to grasp the concept of transformations of functions.
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Transformations of graphs involve changing the size, shape, or position of a graph.
Anyone who wants to modify a graph must be able to file transformations of graphs.
To fill out transformations of graphs, one must specify the type of transformation (translation, reflection, rotation), along with the coordinates or equations that define the transformation.
The purpose of transformations of graphs is to visually represent how a graph has been modified or moved.
Information such as the original graph, the type of transformation, and the resulting graph must be reported on transformations of graphs.
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