Consider the parametric equations below. x = t2 − 2,    y = t + 3,    −3 ≤ t ≤ 3 (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  0 ≤ y ≤ 6

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