SOLUTION: What is the equation of a parabola with vertex (0,0) and a focus at (2,0)? Show work please!! Hope you are having a great day!!

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: What is the equation of a parabola with vertex (0,0) and a focus at (2,0)? Show work please!! Hope you are having a great day!!      Log On


   

Question 1067744: What is the equation of a parabola with vertex (0,0) and a focus at (2,0)?
Show work please!! Hope you are having a great day!!
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
Vertex (0,0)
Focus (2,0)
-
DIRECTRIX (-2,y), or the line x=-2, two units away from vertex on the other side

You can use Definition of a Parabola and setup sqrt%28%28x-2%29%5E2%2B%28y-0%29%5E2%29=sqrt%28%28x-%28-2%29%29%5E2%2B%28y-y%29%5E2%29
Simplify this and put into whatever form you want.

Derive equation for a parabola, given Directrix and Focus - video