Complete the following questions to practice the skills you have learned in this lesson.
- Choose the quadratic equation that represents each graph.
Without graphing the equations, answer questions 2 – 5 to complete the table.
Equation | x-intercepts | x-coordinate of vertex |
---|---|---|
2a. _____ | 2b. _____ | |
3a. _____ | 3b. _____ | |
4a. _____ | 4b. _____ | |
5a. _____ | 5b. _____ |
Table
7.13.0
- Find the -intercepts and the -coordinate of the vertex for the equation .
- What are the -intercepts for the equation ?
- What is the -coordinate of the vertex for the equation ?
- Find the -intercepts and the -coordinate of the vertex for the equation .
- What are the -intercepts for the equation ?
- What is the -coordinate of the vertex for the equation ?
- Find the -intercepts and the -coordinate of the vertex for the equation .
- What are the -intercepts for the equation ?
- What is the -coordinate of the vertex for the equation ?
- Find the -intercepts and the -coordinate of the vertex for the equation .
- What are the -intercepts for the equation ?
- What is the -coordinate of the vertex for the equation ?
- Here is a graph that represents .
- Describe what would happen to the graph if the original equation were changed to .
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The graph would move to the left and up.
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The graph would move to the right and up.
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The graph would move to the left and down.
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The graph would move to the right and down.
- Predict the -intercepts of the graph if the original equation were changed to .
- In which quadrant is the vertex located if the original equation were changed to ?
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Fourth
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Third
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Second
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First
- Select two equations whose graph opens upward.
- Technology required. Use the three graphs to answer questions a–c. Then, use graphing technology to check each equation.
Graph A
Graph B
Graph C
- Which graph represents the equation or ? Then, use graphing technology to check your answer.
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Graph C
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Graph B
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Graph A
- Which graph represents the equation or ? Then, use graphing technology to check your answer.
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Graph C
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Graph B
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Graph A
- Which graph represents the equation or ? Then, use graphing technology to check your answer.
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Graph C
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Graph B
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Graph A
- Choose the quadratic equation written from the real solutions and .