# 9.1.3 Parametric Equations - Sketching Graphs

A Level Only

#### 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

#### Exam Tip

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.

A Level Only

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