How do i create an equation for a parabola in a polar plane with one focus at (0, 0) and a vertex at (-3, -Pi /2)?
Hello, kaleigh.thomas!
You are expected to be familiar with polar equations of conics.How do i create an equation for a parabola in a polar plane
with its focus at and its vertex at ?
A conic with its focus at (0,0) has the form:
. .
From the given information, we know the orientation of the parabola.Code:| * * | * * | * - - * - - - - + - - - - * - - * | * | * | * |
We know that , and the parabola is "vertical".
Its equaton contains .
For the vertex to be at , we have .
. . Therefore: .