Geo5.1.11

From Example Problems
Jump to: navigation, search

Find the vertex,latusrectum,axis,tangent at the vertex,focus and directrix of the parabola x^{2}+8x+12y+4=0\,

Given parabola is x^{2}+8x+12y+4=0\,

Rearranging the terms, we get

(x+4)^{2}=-12(y-1)\,

Vetrex is (-4,1)\,

4a=-12,a=-3\,

Latusrectum is 12.

Focus is (-4,1-3)=(-4,-2)\,

Equation to the directrix is

y=1+3,y-4=0\,

Axis of the parabola is

x+4=0\,

Equation to tangent at vertex is y-1=0\,


Main Page:Geometry:The Parabola