What is the equation of a circle with its center at (10,−4) and a radius of 2?
(x−10)2+(y+4)2=2
(x+10)2+(y−4)2=4
(x+10)2+(y−4)2=2
(x−10)2+(y+4)2=4

The answer to your question is the last option ( (x - 10)² + (y +4)² = 4 )

Step-by-step explanation:

Data

Center = (10, -4)

radius = 2

Formula

                        (x - h)² + (y - k)² = r²

Substitution

h = 10

k = -4

r = 2

                        (x - 10)² + (y +4)² = 2²

Equation

                       (x - 10)² + (y +4)² = 4