Name: SAT Math Help & School Math Mastery
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#16104

geometry

circles

transformations

medium

55 sec

Circle P has center $(1, 5)$ and a radius of $4$ . Circle Q is the result of shifting circle P $3$ units right and $2$ units up, and scaling its radius so that the radius of circle Q is $3$ times the radius of circle P. Which of the following is the equation of circle Q?

A.

$(x - 4)^{2} + (y - 7)^{2} = 144$

B.

$(x - 4)^{2} + (y - 7)^{2} = 16$

C.

$(x - 1)^{2} + (y - 5)^{2} = 144$

D.

$(x + 4)^{2} + (y + 7)^{2} = 144$