Question

A portion of a parabola is defined by the parametric equations x = 2 − (t + 1)^2, y = t + 2 with −3 ≤ t ≤ 0.
(a) Eliminate the parameter t to determine the equation of the curve in terms of only x and y.
(b)sketch the graph of the parametric curve only for −3 ≤ t ≤ 0. Use arrows to indicate the direction of increasing t.