Question

the equation of a parabola with vertex (0, 0) and directrix x = -3

Answer 1

so the parabola looks like
now your center is at (0, 0)
use the focus standard form for the parabola with a focus distance at "p"
\(\huge (x-h)^2=4p(y-k)\)

Answer 2

the focus is "3", because in a parabola the directrix and focus are at EXACTLY the same distance from the vertex

Answer 3

if the directrix is at -3, the focus will be on the other end, +3

Answer 4

So then it'd be (x - h)^2 = 4(3) (y - k) ?

Answer 5

yes

Answer 6

jdoe000, the directrix is a vertical line, not a horizontal line

Answer 7

since your vertex, no center my bad, your vertex is (0, 0), that'd be simple
you can then solve if you wish for "y"

Answer 8

the axis of symmetry and the directrix are not the same line

Answer 9

ohh shoot, yeah, hold the mayo

Answer 10

@jim_thompson5910 is correct,, the directrix is x = -3 so is really on the other direction