Answer:
Option D.
Step-by-step explanation:
From the given graph,
Center of the circle = (-4, -2)
This circle passes through a point (0, -3),
Radius of the circle = Distance between center and point (0, -3)
r = [tex]\sqrt{(0+4)^{2}+(-3+2)^{2}}[/tex]
r = [tex]\sqrt{17}[/tex]
Standard equation of the circle is,
(x - h)² + (y - k)² = r²
Where (h, k) is the center and r is the radius of the circle.
By putting the values in this equation,
(x + 4)² + (y + 2)² = (√17)²
(x + 4)² + (y + 2)² = 17
Option D. will be the answer.
