Answer:
Explanation:
The equation is:
and
<u>1. Subsittute n = 6 into the equation:</u>
Now subsititute the known values:
You can solve for
<u />
<u>2. Substitute n = 5 into the equation:</u>
Substitute the known values and solve for
<u>3. Substitute n = 4 into the equation, subsitute the known values and solve for </u><u />
Given:
The focus of the parabola is at (6,-4).
Directrix at y=-7.
To find:
The equation of the parabola.
Solution:
The general equation of a parabola is:
...(i)
Where, (h,k) is vertex, (h,k+p) is the focus and y=k-p is the directrix.
The focus of the parabola is at (6,-4).
On comparing both sides, we get
...(ii)
Directrix at y=-7. So,
...(iii)
Adding (ii) and (iii), we get
Putting in (ii), we get
Putting in (i), we get
Therefore, the equation of the parabola is .