SOLUTION: Given the parabola having the equation x^2+4y+8x=4, find the vertex, focus, and the length of the latus rectum. Sketch the graph.

Question 1170337: Given the parabola having the equation x^2+4y+8x=4, find the vertex, focus, and the length of the latus rectum. Sketch the graph.
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!

The equation now shows parabola is concave downward with vertex as maximum point.

------------------
Vertex (-4,-5)
----------------------------------------------------------
Distance between vertex and either focus or directrix is 1.
----------------------------------------------------------
Focus (-4,-6)
--------------------------------------------------------
Directrix
---------------------------------------------------------

RELATED QUESTIONS
Given the parabola having the equation x^2+4y+8x=-4, find the vertex, focus, and the... (answered by josgarithmetic)

Given the equation of the parabola (x+2)^2=2(y-1), find the vertex, directrix, focus and... (answered by josgarithmetic)

Find the length of the latus rectum and the equation of the parabola with vertex at the... (answered by CPhill)

Find the Vertex, directrix, focus, length of latus rectum ,center , equation /sketch of a (answered by greenestamps)

Find the focus, vertex, length of latus rectum,and the equation of directrix of the... (answered by josgarithmetic,greenestamps)

Find the vertex, focus, length of latus rectum,and the equation of directrix of y^2 - 4y... (answered by josgarithmetic,greenestamps)

Find the focus, vertex, directrix , axis, and latus rectum of the parabola, y2 =8x-8y (answered by lwsshak3)

Find the vertex, focus, length of latus rectum and the equation of directrix from the... (answered by josgarithmetic)

Find an equation of the parabola in standard form having the given properties. Draw a... (answered by josgarithmetic)