Answer:
b or c
Step-by-step explanation:
2×-1 +1= -1
-1>-3
2×0+1= 1
1>-3
For this reason the equality can be b or c
- d is distance, (x_1,y_1) and (x_0,y_0) two points on a coordinate grid.
In our case :
2x - 6 = 14
Add 6 to both sides to isolate the x
2x = 20
Divide 2 to both sides since x is multipled to x
x = 10
To check your work plug 10 into the equation
2(10) -6 = 14
20 - 6 = 14
14 = 14
and it works
The distance from any point P (x,y) on the parabola to the focus = the distance of this point from the directrix.
distance between P to focus:-
= sqrt ( x - 2)^2 + (y - 5))^2
distance from the point to directrix = ( 9 - y)
so sqrt( x - 2)^2 + (y-5)^2 = 9 -y
(x - 2)^2+ (y - 5)^2 = (9-y)^2
x^2 -4x + 4 + y^2 - 10y + 25 = 81 - 18y + y^2
x^2 - 4x + 4 +25 - 81 = -18y + 10y
-8y = x^2 - 4x -52
y = (-1/8)^2 + 1/2 x + 6 1/2 is the required equation
