Find the equation for the parabola that has its vertex at the origin and has directrix at x=1/48

The equation for a parabola with vertex at the origin and a directrix at x = 1/48 is .

Step-by-step explanation:

As directrix is a vertical line, the parabola must "horizontal" and increasing in the -x direction. Then, the standard equation for such geometric construction centered at (h, k) is:

Where:

, - Horizontal and vertical components of the location of vertex with respect to origin, dimensionless.

- Least distance of directrix with respect to vertex, dimensionless.

Since vertex is located at the origin and horizontal coordinate of the directrix, least distance of directrix is positive. That is:

Now, the equation for a parabola with vertex at the origin and a directrix at x = 1/48 is .

squares, rhombus, rectangles

faster, im not sure why but i know it is faster