Answer:
The required equation is .
Step-by-step explanation:
The standard form of the equation of the parabola is
.... (1)
where, (h, k) is vertex and y = k - p is directrix.
It is given that vertex of parabola is (–4, –6) and the directrix is y = 3.
On comparing both the sides, we get
Directrix of the parabola is
Put y=3 and k=-6 in the above equation.
Substitute h=-4,p=-9 and k=-6 in equation (1).
Therefore the required equation is .