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Explain the steps necessary to find the center and radius of the circle below. x2 + 4x + y2 ‒ 6y = 9 Then, find the center and the radius of this circle and sketch the graph of the circle.

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tramserran
The necessary step to find the center and radius is complete the square so it is in the format (x - h)² + (y - k)² = r²

x² + 4x + (4)  +   y² - 6y + (9)  =  9 + (4) + (9)
→  (x + 2)²  + (y - 3)² = 22

Center: (-2, 3)
radius: √22

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