Answer:
[tex](x-3)^2+(y+4)^2=9[/tex]
Step-by-step explanation:
The equation of a circle with center at (h,k) and radius r units is found using:
[tex](x-h)^2+(y-k)^2=r^2[/tex]
The given circle is centered at the (3,-4) and has radius 3 units,
The equation of this circle is obtained by substituting the given values.
This gives us:
[tex](x-3)^2+(y--4)^2=3^2[/tex]
We simplify to get:
[tex](x-3)^2+(y+4)^2=9[/tex]
