$x - 2 = t^{2}, y = 2 t$ are the parametric equations of the parabola

y^{2} = 4 x

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y^{2} = - 4 x

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x^{2} = - 4 y

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y^{2} = 4 (x - 2)

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Solution

The correct option is D $y^{2} = 4 (x - 2)$
Here $\frac{y}{2} = t a n d x - 2 = t^{2}$
$\Rightarrow (x - 2) = {(\frac{y}{2})}^{2} \Rightarrow y^{2} = 4 (x - 2)$ .

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$x - 2 = t^{2}, y = 2 t$ are the parametric equations of the parabola. Then the equation of the parabola is,

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