2. The center is (-1,1)
a) Note that the point (-1,4) is also on the graph...and the distance between this point and the center is jthe radius....this is given by the difference of the y coordinates ( 4 - 1) = 3
b)
Graphing form
(x + 1)^2 + (y - 1)^2 = 9
Gerenral form...expand the graphing form
x^2 + 2x + 1 + y^2 - 2y + 1 = 9
x^2 + y^2 + 2x - 2y + 2 = 9 subtract 9 from both sides
x^2 + y^2 + 2x - 2y - 7 = 0