Respuesta :

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]

The answer is the letter B.