Parabola as a Locus
Here, we have a parabola with its focus and directrix. Point P lies on the parabola itself. Mess around with this app by moving any of the BIG POINTS anywhere you'd like.
Other than mentioning the fact that P always lies on a parabola, how would you describe all possible locations for P above? Be specific.
Where is the vertex located in relation to the focus and the directrix? Move the focus point and the directrix points to make sure you're correct.
Where is the focus always located in relation to the parabola? Move the parabola to make sure you're correct.
Where is the directrix always located in relation the parabola? Move the points of the directrix to make sure you're correct.