Question

Find the standard form of the equation of the parabola with a focus at (7, 0) and a directrix at x = -7.
MEDAL!

Answer 1

@jim_thompson5910

Answer 2

The standard equation of a parabola with vertex at (0,0) and focal distance p (focus to vertex, or vertex to directrix) is given as follows.
For a horizontal axis:
\[x=y^2/4p\]
If the parabola has a vertical axis, then
\[y=x^2/4p\]
You can tell that the parabola has a horizontal axis because the directrix is given by x=-7