What will be the translated equation of parabola $x^{2} = 12 y$ if it is translated 5 units vertically upward?

Open in App

Solution

We know that if a standard parabola is shifted by $k$ units along positive y-axis then the equation of translated parabola is given by $x^{2} = 4 a (y - k) .$
So, according to question the equation of translated parabola shifted by $5$ units vertically is given by $x^{2} = 12 (y - 5) .$
Also, upon opening the square we get the equation we get,
$\Rightarrow x^{2} + 60 = 12 y$
Hence, option C is correct.

Suggest Corrections

Similar questions

x^{2} = 4 y

x^{2} = 4 y

x^{2} + 13 = 4 y + 6 x

y^{2} = 4 x

(0, - 2)

3

Join BYJU'S Learning Program