Module 2: Lesson 1

 

Self-Check 4

1. Parts a and b of “Your Turn” on page 69
   1. The equation can be mapped as follows:
      
      
       
      (0, 0) → (0, 0)
      
       
      (1, 1) → (1, )
      
       
      (4, 2) → (4, 1)
      
      This equates to a vertical stretch by a factor of about the x-axis. The equation for this transformation would be
      
      The equation could also be mapped as follows:
      
      
       
      (0, 0) → (0, 0)
      
       
      (1, 1) → (4, 1)
      
       
      (4, 2) → (16, 2)
      
      Using this mapping, you could state that the graph has undertaken a horizontal stretch by a factor of 4 about the y-axis. The equation for this transformation would be
   2. By converting the horizontal stretch, you can see that
      
      
       
      
      
      Therefore, the two transformations are equivalent.
      

© 2012 Alberta Education