2.7.35 Function properties

condition: Given \( \quad \) equations of motion of the point \( \left\{\begin{array}{l}x=x(t) \\ y=y(t)\end{array}\right. \) and initial time \( t_{0}(c) \) : a) find the equation of the trajectory of motion in the Cartesian coordinate system, b) construct the resulting curve, c) find the point from which the movement begins, d) is the entire curve the trajectory of the point’s movement? Indicate on the drawing the direction of movement of the point. \[ \left\{\begin{array}{l} x=-2 t-2 \\ y=-\frac{2}{t+1} \end{array}, \quad t_{0}=2\r