im not sure what to put in place of the one i have highlighted
https://prnt.sc/qd7z1v
The highlighted box AND the one before it are incorrect....
read the question....both of those boxes should be UNITS ..... in other words, they should be numbers (not points or equations).... Now try it!
-12(x - 5) = (y + 2)^2
Vertex = ( 5, -2)
Opens to the left
4p = -12
p = -3
The focus is l p l = l -3 l = 3 units from the vertex
The directrix is 2 l p l = 2 l - 3 l = 2(3) = 6 units from the focus
Focus = (5 + 3 , - 2) = (5 - 3, 2) = (2, -2)
The equation of the directrix is x = (5 + 3) ⇒ x = 8