005 Sample Final A, Question 18

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Question Graph the following function,


Make sure to label any asymptotes, and at least two points on the graph.


Foundations
1) What is the basic graph of ?
2) How is the graph obtained from ?
3) How is the graph obtained from ?
Answer:
1) The basic graph is .
2) The graph of is obtained by shifting the graph of up 1 unit.
3) The graph of is obtained by shifting the graph of to the right by 3 units.


Solution:

Step 1:
We start with the basic graph of .
To get the graph of from , we shift the graph of down 2 and to the left by 1.
Step 2:
Two ordered pairs are (-1,-1), and (0,1). There is a horizontal asymptote at .
Final Answer:
To get the graph of from , we shift the graph of down 2 and to the left by 1.
Two ordered pairs are (-1,-1), and (0,1). There is a horizontal asymptote at

4 Sample Final 5.png

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