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SAT Math Practice Question #39032 - SATify | SATify

#39032

algebra

transformations

equations

circles

coordinate geometry

geometry

medium

45 sec

Calculator OK

Circle C is represented by the equation $(x + 4)^{2} + (y - 2)^{2} = 16$ . Circle D is obtained by shifting circle C up 5 units in the xy-plane. Which of the following equations represents circle D?

A.

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

B.

$(x + 4)^{2} + (y - 7)^{2} = 16$

C.

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

D.

$(x + 9)^{2} + (y - 2)^{2} = 16$