Name: SAT Math Help & School Math Mastery
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#37397

transformations

circles

medium

60 sec

Circle P has a center at $(- 3, 5)$ and a radius of $2$ . Circle Q is formed by shifting circle P $4$ units to the left and $2$ units down. Additionally, the radius of circle Q is $3$ units greater than the radius of circle P. Which of the following is the equation of circle Q?

A.

$(x + 7)^{2} + (y - 3)^{2} = 25$

B.

$(x + 1)^{2} + (y + 3)^{2} = 25$

C.

$(x - 7)^{2} + (y + 3)^{2} = 5$

D.

$(x + 7)^{2} + (y - 3)^{2} = 5$