Complete the following questions to practice the skills you have learned in this lesson.
- Select three quadratic expressions written in vertex form.
Examine the following two equations and use them to answer questions 2 – 5. One defines function and the other defines function .
- How do you know that the expressions defining and are equivalent?
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Both expressions are equal to .
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Both expressions are equal to .
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Both expressions are equal to .
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Both expressions are equal to .
- Recall and . What is the -coordinate of the vertex of the graph of ?
- Recall and . What is the -coordinate of the vertex of the graph of ?
- Recall and . What are the -intercepts of the graph of ?
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and
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and
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and
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and
For questions 6 – 11, enter the coordinates of the vertex of the graph that represents the equation.
- Find the coordinates of the vertex for the equation .
- What is the -coordinate of the vertex?
- What is the -coordinate of the vertex?
- Find the coordinates of the vertex for the equation .
- What is the -coordinate of the vertex?
- What is the -coordinate of the vertex?
- Find the coordinates of the vertex for the equation .
- What is the -coordinate of the vertex?
- What is the -coordinate of the vertex?
- Find the coordinates of the vertex for the equation .
- What is the -coordinate of the vertex?
- What is the -coordinate of the vertex?
- Find the coordinates of the vertex for the equation .
- What is the -coordinate of the vertex?
- What is the -coordinate of the vertex?
- Find the coordinates of the vertex for the equation .
- What is the -coordinate of the vertex?
- What is the -coordinate of the vertex?
For questions 12 – 14, answer the questions about the - and -coordinates of the vertex, and whether the function opens up or down.
- For function , find the coordinates of the vertex and determine if the function opens up or down.
- What is the -coordinate of the vertex?
Enter your answer here:
- What is the -coordinate of the vertex?
Enter your answer here:
- For the function , does the graph open up or down?
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Down
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Up
- For function , find the coordinates of the vertex and determine if the function opens up or down.
- What is the -coordinate of the vertex?
Enter your answer here:
- What is the -coordinate of the vertex?
Enter your answer here:
- For the function , does the graph open up or down?
-
Down
-
Up
- For function , find the coordinates of the vertex and determine if the function opens up or down.
- What is the -coordinate of the vertex?
Enter your answer here:
- What is the -coordinate of the vertex?
Enter your answer here:
- For the function , does the graph open up or down?
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Down
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Up