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SAT Math Practice Question #39033 - SATify | SATify

#39033

algebra

transformations

equations

circles

coordinate geometry

geometry

medium

60 sec

Calculator OK

Circle P has the equation $(x - 3)^{2} + (y + 5)^{2} = 81$ . Circle Q is obtained by shifting circle P left 1 unit and up 4 units in the xy-plane. Which of the following equations represents circle Q?

A.

$(x - 4)^{2} + (y + 9)^{2} = 81$

B.

$(x - 2)^{2} + (y + 1)^{2} = 81$

C.

$(x - 2)^{2} + (y + 9)^{2} = 81$

D.

$(x - 4)^{2} + (y + 1)^{2} = 81$