Answer:
[tex](x-1)^2+(y+4)^2=9[/tex]
Step-by-step explanation:
The equation of a circle is given by:
[tex](x-h)^2+(y-k)^2=r^2[/tex]
Where (h, k) is the center and r is the radius.
The center of the circle is (1, -4).
And the radius is 3.
Substitute:
[tex](x-(1))^2+(y-(-4))^2=(3)^2[/tex]
Simplify. Thus, our equation is:
[tex](x-1)^2+(y+4)^2=9[/tex]
