Here are the essential concepts you must grasp in order to answer the question correctly.
Circle Equation
The equation (x + 3)² + (y + 2)² = 25 represents a circle in the Cartesian plane. The center of the circle is at the point (-3, -2), and the radius is the square root of 25, which is 5. Understanding this standard form of a circle's equation is crucial for identifying its graph.
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Graphing Techniques
Graphing techniques involve plotting points and understanding the shape of various equations. For a circle, one must recognize that all points on the graph are equidistant from the center. This concept is essential for accurately matching the equation to its corresponding graph.
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Coordinate System
The coordinate system is a two-dimensional plane defined by the x-axis and y-axis. Each point on this plane is represented by an ordered pair (x, y). Familiarity with this system is necessary for interpreting the position of the circle's center and its radius in relation to the axes.
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