What is the equation of a circle with center (2 -3) and radius 3

Choice A

x^2+y^2=r^2 is the mother function of a circle centered at the origin with radius r.

then x^2+y^2=9 is the equation of a circle with radius 3 centered at the origin

to translate the graph 2 unites to the right, add the opposite of 2 which is -2 to the x value inside the function, and to translate the graph 3 units down, then add the opposite which is 3 to the y value inside the function.

which makes the equation became (x-2)^2+(y+3)^2=9 and that is choice A  

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step-by-step explanation: