Answer : 
Center is (-3,3) and radius = 4

(1) Step 1: 
Step 2: 
In completing the square method we take coefficient of x and divide by 2 and the square it . Then add it on both sides
The coefficient of x is -6.
= (-3)^2 = 9
The coefficient of y is -4.
= (-2)^2 = 4
Step : 
(2) 
To find center and radius we write the equation in the form of
using completing the square form
Where (h,k) is the center and 'r' is the radius


In completing the square method we take coefficient of x and divide by 2 and the square it . Then add it on both sides


Here h= -3 and k=3 and
so r= 4
Center is (-3,3) and radius = 4
(c) Step 1: 
Step 2: 
Step 3: 
Step 4: 
We factor out each quadratic
(x^2 + 8x + 16) = (x+4)(x+4) = 
((y^2 - 6y + 9)) = (x-3)(x-3) = 
Step 5 :