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.

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