Function transformations. Suppose   f   is a function, and   c > 0. The graph of
  y = f(x) + c     1.Insert here is the graph of   f   compressed horizontally by a factor   c  
  y = f(x)-c     2.Insert here is the graph of   f   stretched vertically by a factor   c  
  y = f(x + c)     3.Insert here is the graph of   f   compressed vertically by a factor   c  
  y = f(x-c)     4.Insert here is the graph of   f   shifted   c   units right
Now suppose   c > 1. The graph of
  y = cf(x)     5.Insert here is the graph of   f   shifted   c   units up
  y = (1⁄c)f(x)     6.Insert here is the graph of   f   reflected about the   x-axis
  y = f(cx)     7.Insert here is the graph of   f   stretched horizontally by a factor   c  
  y = f(x⁄c)     8.Insert here is the graph of   f   shifted   c   units down
  y = -f(x)     9.Insert here is the graph of   f   reflected about the   y-axis
  y = f(-x)   10.Insert here is the graph of   f   shifted   c   units left
 

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Brief Instructions for solving this Text Puzzle: The puzzle pieces above have been shuffled, and your task is to move them around so that they end up in the correct position. Click a puzzle piece to select it, then click another puzzle piece to move (or swap) the selected piece to that particular position. When you think you are done, click on the Check button.

Text Puzzles by Peter Jipsen Chapman University