Name: SAT Math Help & School Math Mastery
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#40079

transformations

circles

hard

240 sec

Circle A (shown), a circle with its center at $(- 2, 0)$ and a radius of $3$ , is defined by the equation $(x + 2)^{2} + y^{2} = 9$ . Circle B (not shown) is the result of shifting circle A up $2$ units and left $1$ unit, and increasing the radius by $1$ . Which equation defines circle B ?

A.

$(x - 3)^{2} + (y + 2)^{2} = 16$

B.

$(x + 3)^{2} + (y - 2)^{2} = 16$

C.

$(x + 1)^{2} + (y + 2)^{2} = 16$

D.

$(x + 3)^{2} + (y - 2)^{2} = 10$