Answer:
[tex](x-1)^2 + (y+4)^2=2^2[/tex]
Step-by-step explanation:
The equation of a circle is given by:
[tex](x-a)^2 + (y-b)^2 = r^2[/tex]
Where the center is (a,b) and the radius is r
Since center (1, -4), we can say :
[tex](x-a)^2 + (y-b)^2\\(x-1)^2 + (y+4)^2[/tex]
The right side would be [tex]2^2[/tex]
So the equation woud be: [tex](x-1)^2 + (y+4)^2=2^2[/tex]
This is the equation of the circle, posted.
