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: .