Answer:
D
Step-by-step explanation:
From any point (x, y) on the parabola the focus and directrix are equidistant
Using the distance formula
 = | y + 1 |
 = | y + 1 |
Squaring both sides
(x + 5)² + (y - 5)² = (y + 1)^2 , that is
(y + 1)² = (x + 5)² + (y - 5)² ← subtract (y - 5)² from both sides
(y + 1)² - (y - 5)² = (x + 5)² ← expand left side and simplify
y² + 2y + 1 - y² + 10y - 25 = (x + 5)²
12y - 24 = (x + 5)² ← factor left side
12(y - 2) = (x + 5)² ← divide both sides by 12
y - 2 =  (x + 5)² ← add 2 to both sides
 (x + 5)² ← add 2 to both sides
y =  (x + 5)² + 2
 (x + 5)² + 2
or
f(x) =  (x + 5)² + 2 → D
 (x + 5)² + 2 → D
 
        
             
        
        
        
Answer:
6y+2x
Step-by-step explanation:
A parabola can be drawn given a focus of (-4, 4) and a directrix of y = –6. Write
 
        
             
        
        
        
You can find the remainder right away by simply plugging in 

. The polynomial remainder theorem guarantees that the value of 

 is the remainder upon dividing 

 by 

, but I digress...
Synthetic division yields
3   |   2   -11   18   -15
.    |           6   -15     9
- - - - - - - - - - - - - - - - -
.    |   2     -5     3     -6
which translates to

(and note that 

, as expected)
 
        
        
        
First you do 3.5z-2.7z= .8z then you divide .8 with -6, which gives you -7.5 so z= -7.5