Module 1: Function Transformations

 

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In Try This 1 you investigated four different types of transformations. A transformation of a relation is a change made to the relation such that the graph of the relation is shifted or changed in shape. In this lesson you will learn more about translations, a specific type of transformation. A translation of a relation is a shift in the position of the graph without changing the graph’s shape or orientation.

 

This diagram shows two stars on a Cartesian plane. The first star is labelled “pre-image.” An arrow labelled translation points from this star to a second star that is the same size and shape. The second star is labelled “image.”

Just as transformations can be applied to figures, such as the polygon from Try This 1 or the star in the diagram shown, transformations can also be performed on the graph of a function. In Try This 2 you will explore the transformation of the function f(x) = |x|.



textbook
Try This 2

 

The textbook for this course is Pre-Calculus 12. For more information on the textbook, refer to the Course Introduction or contact your teacher.

  1. Complete questions 1 to 6 on pages 6 to 7 of the textbook. Use Try This 2 Organizing Template to organize your information. Include the value of h or k for each equation.
  2. Complete questions 7 to 9 on page 7 of the textbook.

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