We study a bottom-up holographic model of QCD, where conformal invariance is explicitly broken through the introduction of a dilaton field potential on the gravity side. The dilaton potential mimics the properties of perturbative QCD in the UV, while the IR asymptotics are fixed by confinement and the linear glueball spectrum — properties which enable the model to provide an accurate description of strongly-coupled large-N Yang-Mills theory. We use the model to calculate the spectral density of the shear and bulk channels at finite temperature. We compare our results to those derived in strongly coupled N=4 SYM theory as well as weakly coupled ordinary YM theory.