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Parametric equations

Parametric equations · Diagrams

A parameter preserves direction as well as shape

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Three panels: an illustrative looping path that is not a single-valued y(x); exact curve x=t²−2t,y=t+1 with labelled t=−2 through 4 and increasing-t arrows; restricted segment 0≤t≤4 from included (0,1) to included (8,5), passing vertex (−1,2).
Three panels: an illustrative looping path that is not a single-valued y(x); exact curve x=t²−2t,y=t+1 with labelled t=−2 through 4 and increasing-t arrows; restricted segment 0≤t≤4 from included (0,1) to included (8,5), passing vertex (−1,2).
Three panels: an illustrative looping path that is not a single-valued y(x); exact curve x=t²−2t,y=t+1 with labelled t=−2 through 4 and increasing-t arrows; restricted segment 0≤t≤4 from included (0,1) to included (8,5), passing vertex (−1,2).
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