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28 February, 05:31

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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  1. 28 February, 06:01
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    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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