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.
