2.7.35 Function Properties

Condition: given \ (\ quad \) Equations of movement of the point \ (\ left \ {\ begin {array} {l} x = x (t) \\ y = y (t) \ end {arry} \ right. \) and the initial time \ (t_ {0} (c) \):) \) a) Find the equation of the trajectory of movement in the Cartesian coordinate system, b) build the resulting curve, c) find the point from which the movement begins, d) Is the entire curve the trajectory of the movement of the point? Indicate the point of movement of the point on the drawing. \ [\ left \ {\ begin {array} {l} x = -2 t-2 \\ y =-\ frac {2} {t+1} \ end {array}, \ quad t_ {0} = 2 \ r