Equation of a circle is given by: (x-a)²+(y-b)²=r² where (a,b) is the center of the circle and r is the radius. From the graph; (a,b)=(-1,2) and r=7 thus plugging the values in the equation we get: (x--1)²+(y-2)²=7² simplifying the above we get: (x+1)²+(y-2)²=49 hence we conclude that the answer is: B](x+1)²+(y-2)²=49