The equation of the parabola $y^{2} = 4 a x$ when it is translated horizontally to point $(h, 0)$ is

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

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{(y - k)}^{2} = 4 a (x - h)

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

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Solution

The correct option is A $y^{2} = 4 a (x - h)$
When any parabola of the form $y^{2} = 4 a x$ is translated horizontally to a point let's say $(h, 0) .$
The translated equation of parabola becomes $y^{2} = 4 a (x - h) .$

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