SOLUTION: Write an equation for the parabola with vertex at the origin. {{{ focus (5,0) }}}

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: Write an equation for the parabola with vertex at the origin. {{{ focus (5,0) }}}      Log On


   

Question 721912: Write an equation for the parabola with vertex at the origin.
+focus+%285%2C0%29+
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
Write an equation for the parabola with vertex at the origin.
+focus+%285%2C0%29+
***
Basic form of equation for a parabola that opens right:
(y-k)^2=4p(x-h), (h,k)=(x,y) coordinates of the vertex
For given parabola:
vertex: (0,0)
axis of symmetry: y=0 or x-axis
p=5 (distance from vertex to focus on the axis of symmetry)
4p=20
equation:y^2=20x