The graph which shows the variation of the de Broglie wavelength ($\lambda$) of a particle and its associated momentum ($p$) is:

According to de Broglie's hypothesis, the wavelength $\lambda$ associated with a particle of momentum $p$ is given by:
$$\lambda =\frac{h}{p}$$
where $h$ is Planck's constant. Since $h$ is a constant, $\lambda \propto \frac{1}{p}$.The mathematical relation $y\propto \frac{1}{x}$ represents a rectangular hyperbola.