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-6 -2₂ 2- --2-

-6 -2₂ 2- --2-

Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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**Parabolas: Identifying Key Features** **Objective:** Identify the vertex, axis of symmetry, and determine whether the parabola opens upward or downward. **Instructions:** 1. **Determine the Vertex:** - The vertex is the highest or lowest point on the parabola and can be identified from the graph. Please type the vertex as an ordered pair (x, y). 2. **Identify the Axis of Symmetry:** - Choose the correct equation for the axis of symmetry from the given options: - A. \( x = 1 \) - B. \( y = 1 \) - C. \( x = -1 \) - D. \( y = -1 \) 3. **Determine the Direction of the Parabola:** - Select whether the parabola opens upward or downward from the dropdown menu. **Graph Description:** - The graph provided is a coordinate plane with the parabola plotted in blue. - The x-axis ranges from -6 to 2. - The y-axis ranges from -4 to 4. - The parabola reaches its vertex at point \((-2, 3)\) and opens downward. **Diagram Explanation:** - The graph showcases a downward-opening parabola with its vertex at \((-2, 3)\). - By identifying the central line, it is seen that the axis of symmetry is \( x = -2 \). **Conclusion:** - From analyzing the graph: - The vertex is \((-2, 3)\). - The axis of symmetry is \( x = -2 \). - The parabola opens downward. **Fill in the blanks accordingly based on the provided details and your observations.**
Transcribed Image Text:**Parabolas: Identifying Key Features** **Objective:** Identify the vertex, axis of symmetry, and determine whether the parabola opens upward or downward. **Instructions:** 1. **Determine the Vertex:** - The vertex is the highest or lowest point on the parabola and can be identified from the graph. Please type the vertex as an ordered pair (x, y). 2. **Identify the Axis of Symmetry:** - Choose the correct equation for the axis of symmetry from the given options: - A. \( x = 1 \) - B. \( y = 1 \) - C. \( x = -1 \) - D. \( y = -1 \) 3. **Determine the Direction of the Parabola:** - Select whether the parabola opens upward or downward from the dropdown menu. **Graph Description:** - The graph provided is a coordinate plane with the parabola plotted in blue. - The x-axis ranges from -6 to 2. - The y-axis ranges from -4 to 4. - The parabola reaches its vertex at point \((-2, 3)\) and opens downward. **Diagram Explanation:** - The graph showcases a downward-opening parabola with its vertex at \((-2, 3)\). - By identifying the central line, it is seen that the axis of symmetry is \( x = -2 \). **Conclusion:** - From analyzing the graph: - The vertex is \((-2, 3)\). - The axis of symmetry is \( x = -2 \). - The parabola opens downward. **Fill in the blanks accordingly based on the provided details and your observations.**
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