We present H-band images of a complete sample of 24 low-luminosity qua
sars selected from the Bright Quasar Survey. We detect the quasar host
galaxy in at least 22 of these objects. We use a one-dimensional radi
al profile analysis to remove the contribution of the nucleus to the H
-band light and to investigate the properties of the underlying galaxy
. In most cases, the galaxy profiles are fitted better by exponential
disk models than by de Vaucouleurs models. The average galaxy magnitud
e is [M(H)] = -23.9 mag, which is approximately the H magnitude of an
L galaxy. This result argues against the quasar activity being trigge
red by the merger of two large galaxies. No quasar host galaxies have
inclinations greater than 60-degrees, suggesting that obscuration near
the active nucleus hides many of these objects from our view; their s
pace density could be underestimated by a factor of approximately 2. W
e combine our results with previously published results from CCD imagi
ng to show that the galaxies we detect are about 0.5 mag bluer in V-H
than normal galaxies. Such colors can arise from a heightened level of
star formation compared with normal galaxies and are consistent with
these galaxies having been the sites of luminous starbursts about 10(8
) yr ago.