Asked by melody

Directrix x= -2 ; axis y=4 ;Latus rectum is 8
Answered by oobleck
y^2 = 4px
has
directrix x = -p = -2
axis y=0
latus rectum = 4p
so we are looking at
(y-4)^2 = 8x

confirm at

www.wolframalpha.com/input/?i=parabola+%28y-4%29%5E2+%3D+8x