Question

Which is the equation of. Parabola with vertex (0,0) and focus (-3,0)

Answer 1

Answer:

y² = -12x.

Step-by-step explanation:

Given  : Parabola with vertex (0,0) and focus (-3,0).

To find : Which is the equation of Parabola.

Solution : We have given that vertex (0,0) and focus (-3,0).

Standard form of parabolic equation  (y - k)² = 4p (x - h).

where the focus is (h + p, k) and vertex (h,k)

We can see h= 0 , k = 0,

h+p = -3

0 + p = -3

p = -3.

On plugging the values of h , k ,p

Then equation of parabola  (y - 0)² = 4(-3) (x - 0).

y² = -12x.

Therefore, y² = -12x.

Answer 2

Which is the equation of. Parabola with vertex (0,0) and focus (-3,0)

Given:
Vertex =(0,0)
Focus =(−3,0)

From the formula:
4p(x−h)=(y−k)^2
where p=3

substitute p=3 to the equation:
4(3)(x−0)=(y−0)^2
x^2=-12y
x=-y^2/12