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center (x, y) = radius r= -10 -10 10 5 -10 y 10r 5 -10 5 10 10 O -10 -10 -5 -5 -10 -10 10 5 y 10 5 X 10 10

center (x, y) = radius r= -10 -10 10 5 -10 y 10r 5 -10 5 10 10 O -10 -10 -5 -5 -10 -10 10 5 y 10 5 X 10 10

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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The image features an equation of a circle and graphical representations of circles plotted on a coordinate plane. **Equation of the Circle:** (b) \((x - 2)^2 + (y + 1)^2 = 9\) The equation is in the standard form of a circle: \((x-h)^2 + (y-k)^2 = r^2\). - **Center**: The center of the circle is \((h, k)\), where \(h = 2\) and \(k = -1\). So, the center is \((2, -1)\). - **Radius**: The radius \(r\) is the square root of 9, so \(r = 3\). **Graphs:** The image contains four coordinate grids with plots of circles: 1. Each plot is marked with \(x\) and \(y\) axes ranging from \(-10\) to \(10\). 2. The circles are drawn in red with a consistent size in each grid. 3. Each circle is centered at different points corresponding to the given equations. Overall, the image effectively demonstrates how a circle's equation describes its position and size on a coordinate plane.
Transcribed Image Text:The image features an equation of a circle and graphical representations of circles plotted on a coordinate plane. **Equation of the Circle:** (b) \((x - 2)^2 + (y + 1)^2 = 9\) The equation is in the standard form of a circle: \((x-h)^2 + (y-k)^2 = r^2\). - **Center**: The center of the circle is \((h, k)\), where \(h = 2\) and \(k = -1\). So, the center is \((2, -1)\). - **Radius**: The radius \(r\) is the square root of 9, so \(r = 3\). **Graphs:** The image contains four coordinate grids with plots of circles: 1. Each plot is marked with \(x\) and \(y\) axes ranging from \(-10\) to \(10\). 2. The circles are drawn in red with a consistent size in each grid. 3. Each circle is centered at different points corresponding to the given equations. Overall, the image effectively demonstrates how a circle's equation describes its position and size on a coordinate plane.
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