what is the equation

Answer:
B. [tex](x+1)^2+(y-2)^2=9[/tex]
Step-by-step explanation:
The given circle is centered at [tex](-1,2)[/tex] and has radius 3 units.
The equation is given by
[tex](x-a)^2+(y-b)^2=r^2[/tex]
where (a,b) is the center and r is the radius.
We substitute the values to obtain;
[tex](x--1)^2+(y-2)^2=3^2[/tex]
[tex](x+1)^2+(y-2)^2=9[/tex]