Answer:
[tex](x+2)^2 + (y+3)^2 = 16[/tex]
Step-by-step explanation:
To write the equation of a circle, use the formula [tex](x-h)^2+(y-k)^2 = r^2[/tex] where the center of the circle is (h, k).
This means the equation is [tex](x--2)^2 + (y--3)^2 = r^2\\\\(x+2)^2+(y+3)^ = r^2[/tex].
Since the diameter is 8, the radius will be 4.
The equation is [tex](x+2)^2 + (y+3)^2 = 16[/tex].
