Answer
Standard form for the equation of a circle is
[tex](x-h)^2+(y-k)^2=r^2[/tex]
Given parameters
[tex]\begin{gathered} r=4 \\ h=-8 \\ k=-7 \end{gathered}[/tex]
Substitute the given parameters into the Standard form for the equation of a circle is
[tex]\begin{gathered} (x-h)^2+(y-k)^2=r^2 \\ (x-(-8))^2+(y-(-7))^2=4^2 \\ (x+8)^2+(y+7)^2=16 \end{gathered}[/tex]
The final answer
Option A
[tex](x+8)^2+(y+7)^2=16[/tex]
