The format for a circle is [tex](x-h) ^{2} +(y-k) ^{2} = r^{2} [/tex]. We are given our center of (-4, 3) where h is -4 and k is 3. The radius of 2.5 will be squared to finish it off. Filling in our h and k accordingly gives us [tex](x-(-4)) ^{2} +(y-3) ^{2} =6.25[/tex]. Clean that up a bit and we have [tex](x+4) ^{2} +(y-3) ^{2} =6.25[/tex], choice D above.
