Answer:
I will assume the second equation is y=2x^3. If it is y=2x+3 or y=2x-3, the lines will never intersect: they have the same slope (2):
Step-by-step explanation:
2x – y = 7 can be rewritten as: y = 2x -7. It has a slope of 2. The second equation, y = 2x 3, isn't clearly written. If the 3 has a plus or minus sign, then the lines will never intersect: they have the same slope, 2.
I'll assume the second equation is y=2x^3.
See attached graph.
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 .
