  We consider C^{2} Henon-like families of diffeomorphisms of R^{2} and study
the boundary of the region of parameter values for which the nonwandering set
is uniformly hyperbolic. Assuming sufficient dissipativity, we show that the
loss of hyperbolicity is caused by a first homoclinic or heteroclinic tangency
and that uniform hyperbolicity estimates hold uniformly in the parameter up to
this bifurcation parameter and even, to some extent, at the bifurcation
parameter.
