High Quality Content by WIKIPEDIA articles! In analytic geometry, a truncus is a curve in the Cartesian plane consisting of all points (x,y) satisfying an equation of the form y = a/(x+B) +C where a, B, and C are given constants. A truncus is a hyperbola, whose two asymptotes are parallel to the coordinate axes. The standard truncus y = 1/x has asymptotes at x = 0 and y = 0, and every other truncus can be obtained from this one through a combination translations and dilations. Compared with the graph of y=1/x , for the general truncus; f(x) = A/(x+B) +C The constant A dilates the graph by a factor of A from the x-axis; that is, the graph is stretched vertically when A > 1 and compressed vertically when 0 < A < 1. When A < 0 the graph is reflected in the x-axis. The constant B translates the graph horizontally left when B > 0 or right when B < 0. The constant C translates the graph vertically up when C > 0 or down when C < 0.

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