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4 3 1 -3 -2 -1 0 1 2 3 4 -1

4 3 1 -3 -2 -1 0 1 2 3 4 -1

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, specifically a parabola, which is oriented upwards. The parabola passes through the point (0, 5) on the y-axis, indicating that this is likely the y-intercept. The vertex of the parabola is at (-2, 1), representing the minimum point on the graph. Key features of the graph: - **Axes:** The graph has both x and y-axes, which are marked with intervals from -4 to 4 on the x-axis and -1 to 5 on the y-axis. - **Grid:** A grid is present to aid in locating the coordinates and understanding the shape of the parabola. - **Parabola:** The parabola is symmetrical around the vertical line passing through x = -2, which is the axis of symmetry for the quadratic function. This graph is useful for understanding the properties of quadratic functions, such as the standard form equation \(y = ax^2 + bx + c\), and for identifying characteristics like the vertex, axis of symmetry, and y-intercept.
Transcribed Image Text:The image displays a graph of a quadratic function, specifically a parabola, which is oriented upwards. The parabola passes through the point (0, 5) on the y-axis, indicating that this is likely the y-intercept. The vertex of the parabola is at (-2, 1), representing the minimum point on the graph. Key features of the graph: - **Axes:** The graph has both x and y-axes, which are marked with intervals from -4 to 4 on the x-axis and -1 to 5 on the y-axis. - **Grid:** A grid is present to aid in locating the coordinates and understanding the shape of the parabola. - **Parabola:** The parabola is symmetrical around the vertical line passing through x = -2, which is the axis of symmetry for the quadratic function. This graph is useful for understanding the properties of quadratic functions, such as the standard form equation \(y = ax^2 + bx + c\), and for identifying characteristics like the vertex, axis of symmetry, and y-intercept.
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