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Parametric Equations : Find the vertex, focus , directrix

1.) Find the vertex, focus , directrix of the parabola and sketch its graph

y+ 12x - 2x^2 = 16

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

x= 2 cos t, y= t- cos t, (0 (</=) t (</=) 2 pi)

Solution Summary

Parabolas and parametric equations are investigated. The solution is detailed and well presented.