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What will be ...

Question

What will be the equation of parabola $x^{2} = 4 a y$ when shifted along y-axis at $(0, k)$ , where $k$ is constant?

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Solution

Given equation of parabola is $x^{2} = 4 a y$ having vertex at origin.

When the parabola $x^{2} = 4 a y$ is shifted along y-axis, then the new equation of parabola is given by $x^{2} = 4 a (y - k) .$

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