How do I find the directrix and focus of a parabola?

1 Answer
Apr 18, 2015

There are two basic kinds of parabola(as it is convenient for me to say)

Type 1:
The parabola lying on, or parallel to the xaxis

This parabola is of the form (yyv)2=4a(xxv)

Where,
- focus is (a+xv,yv)
- directrix is the line x=xva
- Vertex is (xv,yv)

Type 2:
The parabola lying on, or parallel to the yaxis

This parabola is of the form (xxv)2=4a(yyv)

Where,
- focus is (xv,a+yv)
- directrix is the line y=yva
- Vertex is (xv,yv)