The transfer function of a second-order low-pass filter has the form

\[
T(s)=\frac{K}{\left(\frac{s}{\omega_{0}}ight)^{2}+2 \zeta\left(\frac{s}{\omega_{0}}ight)+1}
\]

Show by replacing \(\mathrm{s} / \omega_{\mathrm{o}}\) by \(\omega_{\mathrm{o}} / \mathrm{s}\), you obtain a transfer function of a second-order high-pass filter.