Write an equation of a circle with a center at (2, - 4) and a radius of 4.

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  (x -2)^2 +(y +4)^2 = 16

Step-by-step explanation:

The equation of a circle with center (h, k) and radius r is ...

  (x -h)^2 +(y -k)^2 = r^2

You have (h, k) = (2, -4) and r = 4, so your equation is ...

  (x -2)^2 +(y -(-4))^2 = 4^2

  (x -2)^2 +(y +4)^2 = 16