Question

What will be the translated equation of parabola $x^2=4y$ if it is shifted 6 units along positive x-axis?

Answer 1

We know that if a standard parabola is shifted by $h$ units along positive x-axis then the equation of translated parabola is given by $(x-h{)}^2=4ay.$
So, according to question the equation of translated parabola shifted by $6$ units along x-axis is given by $(x-6{)}^2=4y.$
Also, upon opening the square we get the equation as
$x^2-12x+36=4y$
$\Rightarrow x^2+36=4y+12x.$
Hence, A and C are correct answer.