3 2 1 ...*... -7-6–5–4-3- 1 2/3 4 5 6 m 4 56

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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Determine the equation of the parabola whose graph is given below.

The image presents a graph of a quadratic function. The graph is oriented on a Cartesian coordinate plane with labeled x and y-axes. The parabola is plotted in green and opens downward, indicating a negative leading coefficient.

Key features of the graph:

1. **Axes**:
   - The x-axis ranges from -7 to 7.
   - The y-axis ranges from -7 to 7.

2. **Vertex**:
   - The parabola has its vertex at approximately (4, 4), which is the highest point on the graph.

3. **Intercepts**:
   - The y-intercept is not clearly visible from the provided section of the graph.
   - The parabola crosses the x-axis around the points (3, 0) and (5, 0), indicating these are the x-intercepts or roots of the function.

4. **Symmetry**:
   - The graph is symmetrical about the vertical line x = 4.

The graph illustrates the properties of a quadratic function, including its vertex, direction (opening downwards), and x-intercepts. Understanding these key points can help in analyzing and graphing similar quadratic equations.
Transcribed Image Text:The image presents a graph of a quadratic function. The graph is oriented on a Cartesian coordinate plane with labeled x and y-axes. The parabola is plotted in green and opens downward, indicating a negative leading coefficient. Key features of the graph: 1. **Axes**: - The x-axis ranges from -7 to 7. - The y-axis ranges from -7 to 7. 2. **Vertex**: - The parabola has its vertex at approximately (4, 4), which is the highest point on the graph. 3. **Intercepts**: - The y-intercept is not clearly visible from the provided section of the graph. - The parabola crosses the x-axis around the points (3, 0) and (5, 0), indicating these are the x-intercepts or roots of the function. 4. **Symmetry**: - The graph is symmetrical about the vertical line x = 4. The graph illustrates the properties of a quadratic function, including its vertex, direction (opening downwards), and x-intercepts. Understanding these key points can help in analyzing and graphing similar quadratic equations.
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