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Start with the given equation
Rearrange the terms (place the "x" and "y" terms together)
Take half of the "x" coefficient and square it to get
. Add this to both sides (note: add the one right after the -2x)
Take half of the "y" coefficient and square it to get
. Add this to both sides (note: add the four right after the -4y)
Combine like terms on the right side
Group the terms into two groups of three terms in each
Factor
to get
Factor
to get
Add 4 to both sides
Now we have an equation in the form of
where
,
, and
. Remember, for the general circle
, the center is (h,k) and and the radius is "r"
So for
, the center is (1,2) and the radius is 3 units
(