How do you find an equation of a parabola given vertex (7,0) and focus (0,0)?
1 Answer
Dec 19, 2017
Explanation:
As the vertex is
Directrix is perpendicular to axis of symmetry and hence its equation is of the type
Further as vertex is equidistant from focus and directrix and is also between the two, we must have directrix as
Now parabola is locus of a point, say
as distance of
and distance of
equation of parabola is
or
or
graph{(y^2+28x-196)(x^2+y^2-0.2)((x-7)^2+y^2-0.2)(x-14)=0 [-33.4, 46.6, -20.16, 19.84]}