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Answer :

Substitute the given values into the center-radius form of the equation of a circle.

[tex](x-h)^2+(y-k)^2=r^2[/tex]

where (h,k) is the center of the circle and r is the radius of the circle.

Thus, we have the following equation.

[tex]\begin{gathered} (x-(-4))^2+(y-(-1))^2=(9)^2 \\ (x+4)^2+(y+1)^2=81 \end{gathered}[/tex]

Thus, the answers for the blanks are as follows.

Blank 1: +4

Blank 2: +1

Blank 3: 81

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