Basic Transformations of Polynomial Graphs


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question 1 of 3

How will the graph of f(x)=x^3 transform when changed to f(x) = x^3 - 5?

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1. What transformation to the graph occurs when f(x) = x^2 is changed to f(x) = 3(x-2)^2?

2. To what does 'Polynomial Graph Transformation' refer?

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About This Quiz & Worksheet

This quiz and worksheet combo will help you understand how to transform any polynomial graph using equations. You'll be assessed on your knowledge of which operations correspond with which transformation.

Quiz & Worksheet Goals

See how well you can answer quiz questions on the following:

  • How a graph changes when a polynomial function changes
  • Key terms
  • Multiple transformations

Skills Practiced

  • Reading comprehension - ensure that you draw the most important information from the related lesson on transforming polynomial graphs
  • Problem solving - use acquired knowledge to solve transformation practice problems
  • Knowledge application - use your knowledge to answer questions about parent functions

Additional Learning

Study the corresponding lesson, Basic Transformations of Polynomial Graphs, for further information. This lesson covers the following objectives:

  • Defining terms like polynomial function and parent function
  • Demonstrating the methods of transforming polynomial graphs
  • Explaining how different operations affect polynomial graphs