1.

\fConsider the parametric equations below. x = tz - 1, y=t+3, -3Ets3 (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. y 6 6 X X X X -8 -6 -4 -2 2 -2 2 4 6 8 -8 -6 -4 -2 2 -2 2 4 6 8 O -21 AO -21 -2 -21 (b) Eliminate the parameter to find a Cartesian equation of the curve. for O E y s 6Find an equation of the tangent to the curve at the point corresponding to the given value of the parameter. x=t'+1, y=tl0+ t; t= -1 V=