  We present a piezo-driven translatable mirror with excellent pointing
stability, capable of driving at frequencies up to tens of kilohertz. Our
system uses a tripod of piezo actuators with independently controllable drive
voltages, where the ratios of the individual drive voltages are tuned to
minimize residual tilting. Attached to a standard {\varnothing}= 12.7mm mirror,
the system has a resonance-free mechanical bandwidth up to 51kHz, with
displacements up to 2{\mu}m at 8kHz. The maximum static steering error is
5.5rad per micrometer displaced and the dynamic steering error is lower than
0.6rad/{\mu}m. This simple design should be useful for a large set of optical
applications where tilt-free displacements are required, and we demonstrate its
application in an ensemble of cold atoms trapped in periodically driven optical
lattices.
