The standard form for a circle is [tex](x-h) ^{2}+(y-k) ^{2} = r^{2} [/tex]. We have our h and k, and we also have x and y. So let's fill in accordingly and solve for the radius squared term. [tex](-4-(-1)) ^{2} +(0-(-4)) ^{2}= r^{2} [/tex]. Simplifying we get [tex]9+16= r^{2} [/tex] or 25. Now let's rewrite the equation with the radius term: [tex](x+1) ^{2}+(y+4) ^{2}=25 [/tex]