What are the coordinates of the center of the circle represented by the equation ${(x + 3)}^{2} + {(y - 4)}^{2} = 25$ ?

(3,4)

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(3,-4)

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(-3,4)

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(-3,-4)

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Solution

The correct option is C (-3,4)
Remember that (x+3) is really (x-(-3)) The center is (-3,4)

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(x - 4)^{2} + (y + 3)^{2} = 25

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(- 4, 3)

y

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