Analytic Geometry

Parabola, Focus, Directrix

Parabola as a locus of points

  • High school
  • about 4 min
  • 4 of 7 in the family
Not started
ℓ (directrix)FP
p = 1.5
Move point P: 0.0
y=x24p,p=1.5y = \frac{x^2}{4p},\quad p = 1.5
d(P,F)=d(P,ℓ)⇒90.00=90.00d(P,F) = d(P,\ell) \Rightarrow 90.00 = 90.00

A parabola = set of points equidistant from the focus F and the directrix ℓ. Move P and watch both distances stay equal!