Lesson 1

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Based on your observations from Try This 1, discuss the following questions with a partner or group.

1. How do the width and orientation of the graph change as the value of a changes? Describe the pattern you saw.
   
   
2. How does the position of the graph change as the value of q changes? Describe the pattern you saw.
   
   
3. How does the position of the graph change as the value of p changes? Describe the pattern you saw.
   
   
4. Summarize your discussion by creating three general rules about the effects of a, p, and q on y = a(x − p)2 + q. You might find the chart shown provides a convenient way to summarize your understandings.
   
   
    

   Variable Changed in y = a(x − p)2 + q	What You Noticed (sketch, patterns)	General Rule
   a
   p
   q

Save your responses in your course folder.