Question

define a parable obtain the standard of a parable. y2=4ax​

Answer 1

Step-by-step explanation:

The given parabola y2 = -12x.

⇒ y2 = - 4 ∙ 3 x

Compare the above equation with standard form of parabola y2 = - 4ax, we get, a = 3,

Therefore, the axis of the given parabola is along negative x-axis and its equation is y = 0

The co-ordinates of its vertex are (0, 0) and the co-ordinates of its focus are (-3 , 0); the length of its latus rectum = 4a = 4 ∙ 3 = 12 units and the equation of its directrix is x = a i.e., x = 3 i.e.,x - 3 = 0.