Name: SAT Math Help & School Math Mastery
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#16107

geometry

circles

transformations

medium

55 sec

Circle S has center $(6, - 2)$ and a radius of $10$ . Circle T is the result of shifting circle S $2$ units left and $8$ units up, and scaling its radius so that the radius of circle T is $\frac{1}{5}$ times the radius of circle S. Which of the following is the equation of circle T?

A.

$(x + 4)^{2} + (y + 6)^{2} = 4$

B.

$(x - 4)^{2} + (y - 6)^{2} = 100$

C.

$(x - 6)^{2} + (y + 2)^{2} = 4$

D.

$(x - 4)^{2} + (y - 6)^{2} = 4$