Use the definition of a parabola and the distance formula to derive the standard equation of a parabola witch has the origin for its vertex, the x-axis as the axis of symmetry and a focus of (0,0) and I directrix of -p.
Yes that is correct. I know the answer is y^2=4px I just dont know how to show the solution.
+37099 I am not sure this is possible.....by definition a parabola is the set of points equidistant from the point called a focus and a line called the directrix. if the focus is at the vertex, the directrix would have to intersect this point also -p = 0
then you don't have a parabola, you have a straight line......
Thought about this while on a long bike ride yesterday, and I cannot make this work.....IF you move the focus off of the vertex, I think I can make it work......
Anyone else?
