Question

y^2+6y+8x+25=0 find the vertex focus and directrix of the parabola

Answer 1

first completing squares

Answer 2

y^2 + 6y + 9 = 9 -25 - 8x
(y + 3)^2 = -16 - 8x
(y + 3)^2 = -8 ( 2 + x)

Answer 3

from here we can see that vertex is ( -2 ; -3)

Answer 4

would P = -2?

Answer 5

4p = -8 yes

Answer 6

Thanks!

Answer 7

it was a pleasure to help you

Answer 8

So what conic section would this be?

Answer 9

parabola