Translating Piecewise Functions


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question 1 of 3

What translations have been made to f(x)?

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1. If f(x) represents the left part of the black graph and g(x) represents the right part of the black graph, then what piecewise function represents the red graph?

2. In which function has f(x) been shifted up 2 units and 7 units to the right?

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About This Quiz & Worksheet

Using this quiz and attached worksheet, you can evaluate how well you know how to move and change a graph. The quiz will assess your understanding of concepts like translation and using functions.

Quiz & Worksheet Goals

Use these assessment tools to measure your knowledge of:

  • Identify translations in given functions
  • Identify and interpret given graphs
  • Writing functions
  • Applying functions to translation

Skills practiced

This worksheet and quiz let you practice the following skills:

  • Reading comprehension - ensure that you draw the most important information from the related lesson on stretching, reflecting, and shifting
  • Critical thinking - apply relevant concepts to examine information about how to translate piecewise functions in a different light
  • Interpreting information - verify that you can read information regarding unknown piecewise functions and interpret it correctly
  • Knowledge application - use your knowledge to answer questions about transformations on a graph

Additional Learning

To learn more about how to translate piecewise functions, review the lesson Translating Piecewise Functions which covers the following objectives:

  • Understanding piecewise functions
  • Define translation
  • Using translation equations