  We present an unfolding of the codimension-two scenario of the simultaneous
occurrence of a discontinuous bifurcation and an Andronov-Hopf bifurcation in a
piecewise-smooth, continuous system of autonomous ordinary differential
equations in the plane. We find the Hopf cycle undergoes a grazing bifurcation
that may be very shortly followed by a saddle-node bifurcation of the orbit. We
derive scaling laws for the bifurcation curves that emanate from the
codimension-two bifurcation.
