SOLUTION: With a focus at (8,0) and directrix {{{ x=-8 }}} what is the equation of the parabola and the two points that define the latus rectum?

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: With a focus at (8,0) and directrix {{{ x=-8 }}} what is the equation of the parabola and the two points that define the latus rectum?      Log On


   



Question 1078979: With a focus at (8,0) and directrix +x=-8+ what is the equation of the parabola and the two points that define the latus rectum?
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
Vertex is at (0,0)
Parabola concave to the right

Vertex is 8 units from the directrix and 8 units from the focus.
4p=4%2A8=32

32x=y%5E2


-
Let x=8 and solve for both y values.