  This article reveals an analysis of the quadratic systems that hold
multiparametric families therefore, in the first instance the quadratic systems
are identified and classified in order to facilitate their study and then the
stability of the critical points in the finite plane, its bifurcations, stable
manifold and lastly, the stability of the critical points in the infinite
plane, afterwards the phase portraits resulting from the analysis of these
families are graphed. To properly perform this study it was necessary to use
some results of the non-linear systems theory, for this reason vital
definitions and theorems were included because of their importance during the
study of the multiparametric families. Algebraic aspects are also included.
