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#20412

transformations

circles

hard

240 sec

Circle A, a circle with its center at $(- 5, - 3)$ and a radius of $5$ , is defined by the equation $(x + 5)^{2} + (y + 3)^{2} = 25$ . Circle B (not shown) is the result of shifting circle A up $8$ units and left $2$ units, and decreasing the radius so that the radius of circle B is $0.5$ times the radius of circle A. Which equation defines circle B ?

A.

$(x + 7)^{2} + (y - 5)^{2} = (1/4) (25)$

B.

$(x - 7)^{2} + (y + 5)^{2} = (1/4) (25)$

C.

$(x + 7)^{2} + (y + 5)^{2} = (1/4) (25)$

D.

$(x + 7)^{2} + (y - 5)^{2} = (0.5) (5)$