Respuesta :

Answer:

B  (x - 6)² + (y + 4)² = 16

Step-by-step explanation:

From inspection of the graph:

  • center of the circle = (6, -4)
  • radius = 4 units

General equation of a circle:  (x - a)² + (y - b)² = r²

(where (a, b) is the center and r is the radius)

Therefore, substituting the given values into the equation:

equation of the circle:  (x - 6)² + (y + 4)² = 16

Answer:

Answer B

Step-by-step explanation:

Centre of Circle (6,-4)

Radius = 4

Substitute in the Equation attached

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

[tex](x-6)^{2} +(y-(-4))^{2} =4^{2}[/tex]

[tex](x-6)^{2} +(y+4)^{2} =16[/tex]

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