How do you graph # r=4/(1-costheta)#?
This is the polar equation of the parabola with vertex at
The equation is obtained from the definition of the parabola, 'the
distance from the focus = the distance from the directrix, referred
to the focus as pole r = 0 and the focus-to-vertex axis of the
parabola as the initial line,
The standard form is
Here, the initial line is reversed to make it
After converting to Cartesian frame as
parabola is drawn, using Socratic graphic facility. The focus is at O.
See the directrix x + 4 = 0. .