Answer: The equation of parabola is .
Explanation:
It is given that the focus of the parabola is (−5, 5) and a directrix of y = −1.
The standard form of a parabola is,
Where, (h,k+p) is the focus and y=k-p is the directrix.
It is given that the focus of the parabola is (−5, 5).
On comparing both sides we get,
.... (1)
The directrix of y = −1.
.... (2)
Add equation (1) and (2),
Put this in equation (1),
Put p=3, k=2 and h=-5 in standard equation of parabola.
Therefore, the equation of parabola is .