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#37396

transformations

circles

easy

45 sec

Circle K has a center at $(1, 2)$ and a radius of $4$ . Circle L is the result of shifting circle K $3$ units to the right and $1$ unit up. The radius of circle L is the same as the radius of circle K. Which of the following is the equation of circle L?

A.

$(x - 4)^{2} + (y - 3)^{2} = 16$

B.

$(x + 4)^{2} + (y + 3)^{2} = 16$

C.

$(x - 1)^{2} + (y - 2)^{2} = 16$

D.

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