What will be the translated equation of parabola $x^{2} = 4 y$ if it is translated 3 units along negative x-axis and 2 units along positive y-axis?

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Solution

We know that if a standard parabola is shifted by $h$ units along x-axis and $k$ units along y-axis then the equation of translated parabola is given by $(x - h)^{2} = 4 a (y - k) .$
So, according to question the equation of translated parabola shifted by $3$ units along negative x-axis and $2$ units along y-axis is given by $(x + 3)^{2} = 4 (y - 2) .$

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What will be the translated equation of parabola x2=4y if it is translated 3 units along negative x-axis and 2 units along positive y-axis?

What will be the translated equation of parabola $x^{2} = 4 y$ if it is translated 3 units along negative x-axis and 2 units along positive y-axis?