Standard form of 2nd order transfer function (Laplace transform)?
The "standard" form you believe you have is in fact a low-pass 2nd order filter. Here's a picture that might explain things: -



The standard form listed above applies to all types of 2nd order filter i.e. low-pass, high-pass etc..

Note that the numerator changes dependant on what type of filter it is and in your question, the numerator is D/A.

D/A could be made to be whatever you want and this can turn the filter into a low-pass or a high-pass etc..

Information taken from here and my brain