Name: SAT Math Help & School Math Mastery
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#37398

transformations

circles

medium

90 sec

Circle M has the equation $(x - 1)^{2} + (y + 4)^{2} = 25$ . Circle N is formed by shifting circle M $5$ units to the left and $2$ units up. The radius of circle N is half the radius of circle M. Which of the following is the equation of circle N?

A.

$(x + 4)^{2} + (y + 2)^{2} = 6.25$

B.

$(x - 6)^{2} + (y + 2)^{2} = 6.25$

C.

$(x + 4)^{2} + (y + 2)^{2} = 12.5$

D.

$(x - 4)^{2} + (y - 2)^{2} = 25$