Graphing Techniques - Asymptotes and Discontinuities

Graphing Techniques - Asymptotes and Discontinuities

3 marks

Find the Cartesian equation of the curve with the parametric coordinates \(\left( 2t,4-{{t}^{2}} \right)\) where \(t\in \mathbb{R}\).
Sketch the curve, indicating clearly the equation of any asymptote(s) and coordinates of any axial intercept(s).[3]

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Answer:\(y = 4 - \frac{1}{4}x^2\)

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