Answer:
[tex](x-1)^2+(y-4)^2=4[/tex].
Step-by-step explanation:
So the standard form of a circle is [tex](x-h)^2+(y-k)^2=r^2[/tex] where (h,k) is the center and r is the radius.
You are given (h,k)=(1,4) and r=2.
So we are going to plug in 1 for h, 4 for k, and 2 for r:
[tex](x-h)^2+(y-k)^2=r^2[/tex]
[tex](x-1)^2+(y-4)^2=2^2[/tex]
[tex](x-1)^2+(y-4)^2=4[/tex].
