Question

What is the equation of the following graph?

Answer 1

helppp

Answer 2

since this is a parabola opening to the right, you need to use the formula where y is squared
i believe the formula is
(y-k)^2=4p(x-h)

Answer 3

if you know your shift (form the origin) you will know (h,k)
and if you know the distance from the vertex to the focus, you know p

Answer 4

your shift appears to be (3, -2) and your graph does not have a focus, so you have to use the directrix which appears to be 6
since the directrix and focus are equal distances away from the vertex, you know that your focus is 6 away, but in the other direction, so it's -6

Answer 5

if you plug in the numbers you now have, you should get
(y-(-2))^2=4(-6)(x-3)
and you can simplify that to
(y+2)^2 = -24(x-3)