Name: SAT Math Help & School Math Mastery
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#16105

geometry

circles

transformations

medium

55 sec

Circle R has center $(- 3, - 1)$ and a radius of $5$ . Circle S is the result of shifting circle R $4$ units left and $7$ units down, and scaling its radius so that the radius of circle S is half the radius of circle R. Which of the following is the equation of circle S?

A.

$(x - 7)^{2} + (y - 8)^{2} = 6.25$

B.

$(x + 7)^{2} + (y + 8)^{2} = 6.25$

C.

$(x + 7)^{2} + (y + 8)^{2} = 25$

D.

$(x + 3)^{2} + (y + 1)^{2} = 6.25$