Question: How to plot a family of curves of a parametric equation with a different value of a

I would like to plot a parametric equation

y = 7at -t^2

x= t^5-(3+a)t^3-3

and vary the value of (a) between -3 and 3

i tried to use:

plot([seq((7at -t^2, t^5-(3+a)t^3-3),a=-3..3)],t);

but I just can't get it to work

any ideas :S

Mark

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