Circle $F$ in the $xy$-plane is represented by the equation $(x - 13)…

Question

Prompt

Circle

F

in the

x y

-plane is represented by the equation

(x - 13)^{2} + (y - 9)^{2} = 196

. Circle

G

is obtained by shifting circle

F

5 units to the left and 11 units up. An equation representing circle

G

(x + h)^{2} + (y + k)^{2} = 196

, where

h

and

k

are constants. What is the value of

h + k