Question

Consider the parametric equations below.

x = t² − 2, y = 4 − 3t, −3 ≤ t ≤ 4

(a) Sketch the curve by using the parametric equations to plot points. Indicate with an arrow the direction in which the curve is traced as t increases.

(b) Eliminate the parameter to find a Cartesian equation of the curve.

for −8 ≤ y ≤ 13