It can be shown that for a sufficiently idealized wire cable of length $c$, hanging between two supports at $\left(x_1\,y_1\right)$ and $\left(x_2\,y_2\right)$ in a vertical $\mathrm{xy}$-plane, the equation describing the shape of the cable is of the form $y\left(x\right)\=k \cosh \left(d\+x\/k\right)-\mathrm{\λ}$, with $c$ constrained by the equation $c\=k \left(\sinh \left(d\+x_2\/k\right)-\sinh \left(d\+x_1\/k\right)\right)$.  In this context, the curve is called a catenary, from the Latin catina (chain). If such a cable of length $c\=2$ hangs between the points $\left(0\,1\right)$ and $\left(1\,3\/2\right)$, find the equation of the resulting catenary, and draw its graph.