Question

find the standard form of the equation of the parabola with vertex at the origin

focus (-2,0)

Answer 1

plz someone help me in getting started and i can do the rest

Answer 2

all parabolas with its vertex at the origin has this form:

4py = x^2 up/down parabola
4px = y^2 left/right parabola

where p is the distance from vertex to focus.
if p is negative, it opens downard or left.

Answer 3

so with your focus being at (-2, 0), this is a parabola that opens to the left... correct?

Answer 4

so it should have equation:

4px = y^2

since the distance from the vertex to the parabola is 2, and it opens left, then

4(-2)x = y^2 or
-8x = y^2

that's the equation of the parabola whose vertex is at the origin and focus at (-2, 0).

Answer 5

thanku so much