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
.
Answer:
1/3
Step-by-step explanation:
simplify
81^(-1/4)
= 1/81^(1/4)
= 1/[3×3×3×3]^(1/4). (factorize 81)
= 1/[3]^(4/4)
= 1/3
Answer:
A
Step-by-step explanation:
A line of best fit needs to match the direction of the points and fit in-between the points as much as possible
C is not the right direction
D is not the right direction
B is to the left of the points
Answer:
y=-4 or y=-6
Step-by-step explanation:
y^2-14y+49=2y^2-4y+73
y^2+10y+24=0
(y+4)(y+6)=0
y=-4 or y=-6