The parametric equations and parameter intervals for the motion of a particle in the xy-plane are given below. Identify the particle's path by finding a Cartesian equation for it. Graph the Cartesian equation. Indicate the portion of the graph traced by the particle and the direction of motion.
x = - 6 cosh t, y = 6 sinh t, - ∞v ≤ t ≤ ∞
Find a Cartesian equation for the particle's path.