SOLUTION: Use the definition of a parabola and the distance formula to derive the standard equation of a parabola which has the orginbfor its vertex, the x-acis as the axis of symmetry, a fo
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Question 1121680: Use the definition of a parabola and the distance formula to derive the standard equation of a parabola which has the orginbfor its vertex, the x-acis as the axis of symmetry, a focus of (p,0) and a directrix of x=-p.
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
Consider an arbitrary point P on the given parabola.
^2\ +\ (y\,-\,0)^2})
\)^2\ +\ (y\ -\ y)^2})
By the definition of a parabola, these two measures must be equal. Set the expressions equal to each other, simplify, and solve for 
in terms of 
John
My calculator said it, I believe it, that settles it
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