To find: The equation of parabola with given focus and directrix.
The equation of required parabola is
Given data: The focus and directrix of the parabola are
Method/Formula used:
A parabola is locus of a point that moves in such a way that its distance from a line called directrix is equal to the distance from the point called focus of the parabola.
The directrix of a parabola is a line perpendicular to the axis of parabola at same distance from the origin as the focus.
Calculations:
The required parabola has focus
Let
But,
Squaring both sides
The equation of parabola with focus
Chapter 8 Solutions
Holt Mcdougal Larson Algebra 2: Student Edition 2012
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