Transformations: How to Shift Graphs on a Plane


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question 1 of 3

Which kind of transformation stretches or shrinks the graph of the function?

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1. Which kind of transformation would change the red function below into the green one?

2. When the graph of f(x - 1) + 3 is changed into the graph of f(x + 1) + 3, the graph will shift _____

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About This Quiz & Worksheet

Test your ability to recall different mathematical transformations. Then practice your new knowledge by shifting graphs up or down and left or right.

Quiz & Worksheet Goals

This assessment will check your ability to:

  • Recall the different transformations' definitions
  • Use these definitions to identify certain transformations on a graph
  • Practice shifting a graph by using the formula

Skills Practiced

  • Defining key concepts - ensure that you can accurately define main phrases, such as translation
  • Making connections - use understanding of the concept of transformations
  • Problem solving - use acquired knowledge to solve transformation practice problems

Additional Learning

To review concepts of mathematical transformations and translations, read through the lesson called Transformations: How to Shift Graphs on a Plane. The lesson will help you:

  • Understand the concepts of different types of transformations
  • Define terms like dilation, reflection, and rotation
  • Know how to shift a graph on a plane