Sketching Graphs of Parametric Equations (Cambridge (CIE) AS Maths) : Revision Note
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Parametric Equations - Sketching Graphs
How do I sketch a graph from parametric equations?
Plotting a graph is covered in Parametric Equations - Basics
Still find the key features of a graph …
… the y-axis intercept
… the x-axis intercept(s)
… asymptotes
… location of (and if required coordinates of) stationary points (see Parametric Differentiation)
Sketch these points and join up accordingly
Examiner Tips and Tricks
Not all curves defined parametrically lead to familiar shaped graphs and it may be worth plotting a few extra points by calculating them.
Your calculator may be able to produce a table of values quickly, however, remember you are sketching and not plotting.
It may be easier to find the Cartesian equation first and draw the graph from that – this will depend on the question.
It is only a definite strategy if you cannot make progress otherwise.
If you are given the sketch of a graph it is usually only for reference and can be used to check answers for axes intercepts, etc.
Worked Example
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