Name: SAT Math Help & School Math Mastery
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#33440

equations

circles

coordinate geometry

medium

60 sec

A circle in the $x y$ -plane has the equation $(x - 2)^{2} + (y + 3)^{2} = 36$ . If this circle is transformed by doubling its radius and shifting its center $1$ unit to the right and $2$ units down, what is the equation of the new circle?

A.

$(x - 1)^{2} + (y + 1)^{2} = 72$

B.

$(x - 3)^{2} + (y + 5)^{2} = 72$

C.

$(x - 1)^{2} + (y + 1)^{2} = 144$

D.

$(x - 3)^{2} + (y + 5)^{2} = 144$