Which of the following is a result of shifting a circle with equation (x + 3)2 + (y - 2)2 = 36 right 3 units? a. both the x- and y-coordinates of the center of the circle increase by 3. b. the x-coordinate of the center of the circle increases by 3. c. the y-coordinate of the center of the circle decreases by 3. d. the y-coordinate of the center of the circle increases by 3.

We have that
(x + 3)² + (y - 2)² = 36> (x + 3)² + (y - 2)² = 6²

we know that
the equation of a circle is of the form
(x-h)²+(y-k)²=r²
where (h,k) is the center and r is the radius
in this problem
the center of the circle is the point (-3.2) and the radius is r=6 units
so
if shifting a circle right 3 units
then
the center will be> (-3+3,2)> (0,2)

therefore

the answer is the option
B.The x-coordinate of the center of the circle increases by 3.

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