Do you know the Distance Formula?
Play with that and show us what you get from it.
Hi, I'm having trouble figuring out the answer to this question:
Find an equation whose graph consists of all points P(x,y) whose distance from the point F(0,p) is equal to its distance PQ (there should be a line above the PQ) from the horizontal line y = -p (p is a fixed positive number).
This is my effort of reproducing the graph that came with it:
I thought I could do it by plugging (x,y) and (0,p) into the standard equation of a circle, but I'm not getting the same answer as is listed in the book (they say that it's x^2=4py (parabola))
Any help greatly appreciated!
Yeah, you have the right idea, this is all you have to remember for the parabola;
the following, which I'll show you how to do, should just be the manual work that follows from remembering the above property.
Square both sides and solve;
Cancel terms;
It's basically the same idea for the ellipse and hyperbola with a little change