The image of the function f (x) defined on R is symmetric about y axis and satisfies f (- x) = - f (x + 2) Find f (1) + F (2) + F (3) + F (4) + F (5) + F (6) + F (7) + F (8) =?

The image of the function f (x) defined on R is symmetric about y axis and satisfies f (- x) = - f (x + 2) Find f (1) + F (2) + F (3) + F (4) + F (5) + F (6) + F (7) + F (8) =?

On Y-axis symmetry f (x) = f (- x)
So f (x) = - f (x + 2)
f(x)+f(x+2)=0
f(1)+f(3)=0
f(2)+f(4)=0
f(5)+f(7)=0
f(6)+f(8)=0
So f (1) +... + F (8) = 0