SOLUTION: The point of intersection of Latus rectum and axes of the parabola ysquare +4x+2y-8=0

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Question 1064263: The point of intersection of Latus rectum and axes of the parabola ysquare +4x+2y-8=0

Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Same as the focus of the parabola y%5E2%2B4x%2B2y-8=0.

4x=-y%5E2-2y%2B8
4x=-1%28y%5E2%2B2y-8%29
4x=-1%28y%5E2%2B2y%2B1-1-8%29
4x=-1%28%28x%2B1%29%5E2-9%29, vertex is the right-most point and parabola opens toward the left. Vertex is at (-1,-9/4).


The focus is 1 unit to the left of vertex, so this focus is at (-2,-9/4).