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2. The equation of a circle is x^2 + 2x + y^2 + 6y = 0.
a) Write the equation in graphing form. Show your work.
b) Determine the center and radius of the circle.
c) Draw the graph of the circle

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jelkhechen86
Answer:

a)
[tex] {x}^{2} + 2x + {y}^{2} + 6y = 0 [/tex]
[tex] {x}^{2} + 2x + 1 + {y}^{2} + 6y + 9 = 10[/tex]
[tex] {(x + 1)}^{2} + {(y + 3)}^{2} = 10[/tex]
b)
center I(-1;-3)

[tex] radius = \sqrt{10} [/tex]

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