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Videos relating to Parametric Form.
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\(x = f(t),\,y = g(t)\,\,{\rm{or }}x = f(\theta ),\,y = g(\theta )\) are parametric forms and are another technique in representing a function.
For example, the parabola \(y = \dfrac{1}{4}{x^2}\) in the cartesian form can be represented in the parametric form as \(x = 2t,\,y = {t^2}\) and by substituting values for \(t\) the parabola can be graphed.
Another example is the circle \({x^2} + {y^2} = 1\) in the cartesian form can be represented in the parametric form by \(x = \cos \theta ,\,\,y = \sin \theta \).
NSW Syllabus Reference: ME-F1.4 Parametric form of a function or relation. This will require student to