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SAT Math Practice Question #39034 - SATify | SATify

#39034

algebra

transformations

equations

circles

coordinate geometry

geometry

hard

90 sec

Calculator OK

Circle B is represented by the equation $(x + 1)^{2} + (y - 6)^{2} = 100$ . Circle B was obtained by shifting circle A up 3 units and left 2 units in the xy-plane. Which of the following equations represents circle A?

A.

$(x + 3)^{2} + (y - 9)^{2} = 100$

B.

$(x - 1)^{2} + (y - 3)^{2} = 100$

C.

$(x + 3)^{2} + (y - 3)^{2} = 100$

D.

$(x - 1)^{2} + (y - 9)^{2} = 100$