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Determine the equation of the parabola graphed below.

Determine the equation of the parabola graphed below.

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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Question

Determine the equation of the parabola graphed below.

The image displays a graph of a quadratic function, represented by a green parabola. The parabola opens upwards and has its vertex at the point (4, 2), indicating the minimum point on the graph. **Features of the Graph:** 1. **Axes:** - The horizontal axis (x-axis) ranges from 0 to 7. - The vertical axis (y-axis) ranges from 0 to 6. 2. **Vertex:** - The lowest point on the parabola is at (4, 2), indicating the minimum value of the quadratic function. 3. **Symmetry:** - The graph is symmetrical with respect to the vertical line x = 4, which is the axis of symmetry for this parabola. 4. **Increasing and Decreasing Intervals:** - The function decreases from x = 0 to x = 4 and then increases from x = 4 to x = 7. This representation showcases the typical behavior of a quadratic function with a positive leading coefficient, resulting in a U-shaped graph.
Transcribed Image Text:The image displays a graph of a quadratic function, represented by a green parabola. The parabola opens upwards and has its vertex at the point (4, 2), indicating the minimum point on the graph. **Features of the Graph:** 1. **Axes:** - The horizontal axis (x-axis) ranges from 0 to 7. - The vertical axis (y-axis) ranges from 0 to 6. 2. **Vertex:** - The lowest point on the parabola is at (4, 2), indicating the minimum value of the quadratic function. 3. **Symmetry:** - The graph is symmetrical with respect to the vertical line x = 4, which is the axis of symmetry for this parabola. 4. **Increasing and Decreasing Intervals:** - The function decreases from x = 0 to x = 4 and then increases from x = 4 to x = 7. This representation showcases the typical behavior of a quadratic function with a positive leading coefficient, resulting in a U-shaped graph.
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