Complete the following questions to practice the skills you have learned in this lesson.
For questions 1 - 3, use the graph below.
- Tell the shift from to .
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Up 8
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Up 9
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Down 8
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Down 3
- Tell the transformations from to .
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Vertical stretch, left 1
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Vertical stretch, right 1
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Vertical reflection, down 1
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Vertical reflection, up 1
- Describe the transformations made from the parent linear function to achieve . Select two that apply:
- Vertical stretch of
- Vertical compression of
- Up 4
- Down 4
- Right 4
- Left 4
What are the equations of the two lines shown? Select two that apply:
- The linear function has a vertical stretch of 3, a vertical reflection, and a vertical shift down 4. Which of the following is the new function?
- The linear function has a vertical compression of and a vertical shift up 2. Which of the following is the new function?
- What is the equation of the function graphed?
- The linear function has a vertical compression of and a vertical shift down 2. Which of the following is the new function?
- Which two transformations can be used to obtain the graph of from the graph of ?
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A translation to the left units followed by a reflection across the -axis
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A translation to the right units followed by a reflection across the -axis
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A translation to the left units followed by a reflection across the -axis
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A translation to the right units followed by a reflection across the -axis
- For the functions and , which statement is true if ?
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The graph of is the result of the graph of being translated left 14 units and up 12 units.
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The graph of is the result of the graph of being translated right 14 units and up 12 units.
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The graph of is the result of the graph of being translated left 14 units and down 12 units.
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The graph of is the result of the graph of being translated right 14 units and down 12 units.
- Which type of transformation can be used to obtain the graph of from the graph of ?
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Vertical stretch
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Vertical shift up
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Vertical shift down
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Vertical shrink or compression