Answer:
Option D - 
Step-by-step explanation:
Given :  Focus  and a directex
 and a directex  
To find : What is the equation of the quadratic graph with a focus and directrix?
Solution :
The general form of the quadratic equation is  
Where, Focus of the equation is   and
 and
Directrix is   
     
Comparing the given focus and directrix with the general one.

h=-4 and
 ....(1)
 ....(1)
 .....(2)
 .....(2)
Add equation (1) and (2)


Substitute in equation (1)




Now, We get h=-4 , k=2 and 
Substitute in the general form,




i.e, The equation of the quadratic graph is 
Therefore, Option D is correct.