Answer:
D. (x + 5)² + (y - 8)² = 4
Step-by-step explanation:
Given coordinates (-5, 8) as center of a circle with radius 2, an equation of the circle can be written using the following standard formula below:
(x - a)² + (y - b)² = r²
a and b represents coordinates if the center of the circle respectively: a = -5, b = 8
r = radius = 2
=>Plug in the values into the equation
(x - (-5))² + (y - 8)² = 2²
(x + 5)² + (y - 8)² = 4
The equation of the circle is D. (x + 5)² + (y - 8)² = 4
