SOLUTION: Find the focus, directrix, and focal diameter of the parabola. 4x^2 +11y = 0

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: Find the focus, directrix, and focal diameter of the parabola. 4x^2 +11y = 0      Log On


   



Question 764024: Find the focus, directrix, and focal diameter of the parabola. 4x^2 +11y = 0
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
Find the focus, directrix, and focal diameter of the parabola. 4x^2 +11y = 0
***
4x^2 +11y = 0
4x^2=-11y
x^2=-(11/4)y
This is an equation of a parabola that opens downward.
Its standard form: x^2=-4py
For given equation:
vertex: (0,0)
4p=11/4
p=11/16
focus: (0,11/16)
directrix: y=-11/16
I'm not familiar with the term "focal diameter" unless you mean focal width=4p=11/4