# 005 Sample Final A, Question 17

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** Question ** Graph the following function,

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

Foundations |
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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 2 unit. |

3) The graph of is obtained by shifting the graph of to the left by 1 unit. |

Solution:

Step 1: |
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We start with the basic graph of . |

To get the graph of from , we shift the graph of up 2 and to the left by 1. |

Step 2: |
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Two points on the graph are (0, 2) and (1, 3). There is a vertical asymptote at . |

Final Answer: |
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Two points on the graph are (0, 2) and (1, 3). There is a vertical asymptote at . |