Can someone please help me in parametric curves? How do you pick the additional points? Or they could be literally any points? & how many do you normally choose?

Question

amistre64 · Answer

a parametric curve is simply defined for each part individually ... would need more context to determine what you are actually asking about tho

aroub · Answer

Draw the graph given parametrically by:
x=x(t)=t^2-4
y=y(t)=t^3-4t

aroub · Answer

You have to do few steps in order to graph it, and additional points is one of them, but I don't know if it's that important? Can you can graph it without the additional points?

amistre64 · Answer

x=t^2-4

y=t^3-4t
    t(t^2-4)

looks like  y = tx

amistre64 · Answer

if you can convert it into a cartesian equation ... it may be easier to see.  other than that, you simply make a table of txy values and plot them

amistre64 · Answer

x=t^2-4 x+4 = t^2 +-sqrt(x+4) = t y = x sqrt(x+4) or y = -x sqrt(x+4) http://www.wolframalpha.com/input/?i=y%3Dx+sqrt%28x%2B4%29%2Cy%3D-x+sqrt%28x%2B4%29

amistre64 · Answer

does that make sense?

aroub · Answer

Oh, nice! I didn't see that. Haha, thanks :)

amistre64 · Answer

good luck :)