Answer:
B
Step-by-step explanation:
The equation of a circle in standard for is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
here (h, k) = (- 3, - 8) and r = 4[tex]\sqrt{6}[/tex], thus
(x - (- 3))² + (y - (- 8))² = (4[tex]\sqrt{6}[/tex] )², that is
(x + 3)² + (y + 8)² = 96 ← expand parenthesis
x² + 6x + 9 + y² + 16y + 64 = 96
x² + y² + 6x + 16y + 73 = 96 ( subtract 96 from both sides )
x² + y² + 6x + 16y - 23 = 0 → B
