New kinds of programmable amplifiers, adaptive filters, and programmable oscillators can be designed using a new fundamental circuit element memristor. Application of the memristor to analog filters can result in many new properties especially thanks to its variable memristance. In this paper, by using linear drift memristance model, a memristor-based biquad analog filter is examined. The filter is simulated using its dynamic model. The linear dopant drift model of TiO2 memristor is used in the simulations. Simulations have shown that the filter components such as gain and quality factor can be adjusted using the memristor in biquad filter. It has also been observed that memristor may go into saturation at very low frequencies and very low charge values. Considering the results of this study, the tunable memristance gives filters an adjustable characteristic which cannot be obtained by traditional resistors. Results presented in this study can also be considered when designing biquad filters with memristors to ensure their stability and high performance.