What is the center (x-2)^2+(y+3)^2=16 ?

The center (x-2)^2+(y+3)^2=16 is (2,-3)

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center (x-2)^2+(y+3)^2=16

center

(2, - 3)

Solution steps

(x - 2)^{2} + (y + 3)^{2} = 16

Rewrite

(x - 2)^{2} + (y + 3)^{2} = 16

in the form of the standard circle equation

(x - 2)^{2} + (y - (- 3))^{2} = 4^{2}

Therefore the circle properties are:

(a, b) = (2, - 3), r = 4

And the center is:

(2, - 3)