Question

20 POINTS!! PLEASE HELP, FAM! THANKS

Answer 1

In the equation

(x – h)^2 + (y – k)^2 = r^2

(h, k) is the center of the circle.

In your equation
(x – 1)^2 + (y + 3)^2 = 16
h = 1
k = -3

So the answer is C. (1, -3)

Answer 2

(1,-3)
Reverse the sign of the numbers in parentheses attached to x and y to get the (x,y) coordinates of the center