Question

Find the center and radius of each circle. Determine the intercepts of the graph of each circle

3x^2+3y^2-6x+12y=0

Answer 1

Divide by 3 first.

Answer 2

x^2-2x+y^2+4y=0
Complete the square twice.

Answer 3

x^2-2x+1 +y^2+4y+4=5
(x-1)^2+(y+2)^2=5
Center = (1,-2) and radius = sqrt5

Answer 4

Find the x intercepts by letting y = 0
3x^2-6x=0
3x(x-2)=0
x = 0 and x = 2 Those are the x intercepts.

Answer 5

Find the y intercepts by letting x = 0
3y^2+12y=0
3y(y+4)=0
y=0, y=-4
Those are the y intercepts.