Quick questions on Conics and parametric curves explained: H2 Mathematics Functions and Graphs

4short Q&A pairs drawn directly from our worked dot-point answer. For full context and worked exam questions, read the parent dot-point page.

What are parametric curves?

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A parametric description gives

x

and

y

each as a function of a parameter

t

x = \mathrm{f}(t)

y = \mathrm{g}(t)

. As

t

varies, the point

(x, y)

traces a curve.

What is q1?

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Name the curve

\dfrac{x^2}{16} - \dfrac{y^2}{9} = 1

and state its asymptotes. [2 marks]

What is q2?

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A curve has

x = t + 1

y = t^2

. Find its Cartesian equation. [2 marks]

What is q3?

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State the centre and radius of

(x - 2)^2 + (y + 3)^2 = 25

. [2 marks]

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