PARABOLA LOCUS (luogo)
Let's start constructing the locus parabola throughout its definition:
LOCUS OF POINTS THAT HAVE THE SAME DISTANCE FROM A FIXED POINT CALLED FOCUS AND A LINE CALLED DIRECTRIX
You can follow the steps clicking the rows on the bottom of the Geogebra sheet.
a) plot a point F and draw a line = the directrix
b) put a a point C on the line and draw the perpendicular trough C to it
c) draw the axis of FC
d) this axis intersects the perpendicular line at a point P, which has the same distance from P and F ( as the axis definition tell)
e) move C on the directrix ed we obtain the parabola