SOLUTION: A conic has an equation of x^2 + 4x + 16y = 44, find the coordinates of the focus, vertex, and equation of directrix.

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Question 1147600: A conic has an equation of x^2 + 4x + 16y = 44, find the coordinates of the focus, vertex, and equation of directrix.
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
x%5E2%2B4x=-16y%2B44
x%5E2%2B4x%2B4=-16y%2B44%2B4
%28x%2B2%29%5E2=-16y%2B48
%28x%2B2%29%5E2=-16%28y-3%29

p%2A4=-16
p=-4----------distance from vertex to either directrix or focus

Vertex, (-2,3)
Focus, (-2, -1)


graph%28400%2C400%2C-10%2C5%2C-10%2C5%2C-x%5E2%2F16-x%2F4%2B11%2F4%29