Question

Please Help!!

Find the directrix and coordinates of the focus for the conic section shown below.

Answer 1

y^2+16y+4x+4=0
y^2+16y=4x+4
y^2+16y+64=4x+4+64
This is as far as I got. I don't know what to do from here.

Answer 2

@jdoe0001 can you help?

Answer 3

y^2+16y+64=4x+4+64
(y+8)^2=4x+68 solve for x
(y+8)^2=4(x+17)

x+17= (y+8)^2 / 4

x = {(y+8)^2 / 4}-17

Answer 4

or let it like this
(y+8)^2=4(x+17)

Answer 5

so would the directrix be 1 and the focus coordinates be (-16,8)

Answer 6

@ikram002p

Answer 7

the sketch wud be somthing like this

Answer 8

(y+8)^2=4(x+17)
vertix(-17,-8)
focus( -16 ,-8)=(-18,-8)
direx=-18