How to find p in a parabola with focus and directrix
- how to get p in parabola
- how to find p in parabola
- how to find p in parabola formula
- how to calculate p in parabola
Latus rectum of parabola
What is p in parabola equation!
Extracting a Parabola's Equation from its Info
The directrix is an horizontal line. Since the directrix is perpendicular to the axis of symmetry, then I know that the axis of symmetry must be vertical, and therefore this must be a regular parabola, where the x part is squared.
The distance between the vertex and the directrix is:
|−5 − (−2)| = |−5 + 2| = 3
This tells me that the value of p must be 3.
Since the directrix is below the vertex, then this is a right-side up parabola, so p is positive: p = 3.
And that's all I need to find my equation:
(x − h)2 = 4p(y − k)
(x − 5)2 = 4(3)(y − (−2))
(x − 5)2 = 12(y + 2)
URL: https://www.purplemath.com/modules/parabola3.htm
- how to find p in a parabola with vertex and focus
- how to find p value in parabola