solve please and choose on correct answer

Find the transfer function $\frac{Y(s)}{F(s)}$ of the following mechanical system.

Select one:

a$.$ None of these

b$.\frac{Y(s)}{F(s)}=\frac{1}{m{s}^2+bs+k}$

c$.\frac{Y(s)}{F(s)}=\frac{1}{m{s}^2+2bs+k}$

d$.\frac{Y(s)}{F(s)}=\frac{1}{m{s}^2+bs+\frac{k}{2}}$

e$.\frac{Y(s)}{F(s)}=\frac{2}{m{s}^2+bs+k}$