Loading...

#17142

circles

transformations

hard

240 sec

Circle A (shown), a circle with its center at $(- 2, 0)$ and a radius of $3$ , is defined by the equation $(x + 2)^{2} + y^{2} = 9$ . Circle B (not shown) is the result of shifting circle A down $6$ units and increasing the radius so that the radius of circle B is $2$ times the radius of circle A. Which equation defines circle B ?

A.

$(x + 2)^{2} + (y + 6)^{2} = (4) (9)$

B.

$2 (x + 2)^{2} + 2 (y + 6)^{2} = 9$

C.

$(x + 2)^{2} + (y - 6)^{2} = (4) (9)$

D.

$2 (x + 2)^{2} + 2 (y - 6)^{2} = 9$