start by plotting the reciprocal points of the known y-values of f(1-x) ... note that where f(1-x) = 0 , 1/f(1-x) will have a vertical asymptote; where f(1-x) has a vertical asymptote, 1/f(1-x) will equal 0. finish up by connecting the points by a smooth curve.

y = 1 will still be a horizontal asymptote ... the graph of y = 1/f(x-1) will just approach it from the opposite side.