Question

focus, vertex, and directrix for 16(x-9)=(y+9)^2

Answer 1

well this is in the form

(y - k)^2 = 4a(x - h)

its a parabola that is open to the right with the line of symmetry parallel to the x axis

here is an example



so the vertex is at (h, k)

so 4a = 16

a is the focal length... so find a

the focus will be (h + a, k)

the directrix is

x = h - a

hope this helps