  Cosmography, as an integral branch of cosmology, strives to characterize the
Universe without relying on pre-determined cosmological models. This
model-independent approach utilizes Taylor series expansions around the current
epoch, providing a direct correlation with cosmological observations and the
potential to constrain theoretical models. Cosmologists can describe many
measurable aspects of cosmology by using various combinations of cosmographic
parameters. The varying speed of light model can be naturally implemented,
provided that we do not make any further assumptions from the Robertson-Walker
metric for cosmological time dilation. Therefore, we apply cosmography to the
so-called minimally extended varying speed of light model. In this case, other
cosmographic parameters can be used to construct the Hubble parameter for both
the standard model and the varying speed-of-light model. On the other hand,
distinct combinations of cosmographic values for the luminosity distance
indicate the two models. Hence, luminosity distance might provide a method to
constrain the parameters in varying speed-of-light models.
