SOLUTION: What is 9xsquared-4ysquared-16y-52=0 put in standard form and graphed

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Question 38908: What is 9xsquared-4ysquared-16y-52=0 put in standard form and graphed
Answer by fractalier(6550) About Me  (Show Source):
You can put this solution on YOUR website!
From
9x^2 - 4y^2 - 16y - 52 = 0
we complete the square on the y's...add 52 to both sides too...
9x^2 - 4y^2 - 16y - 16 = 52 - 16
9x^2 - 4(y - 2)^2 = 36
divide by 36 and get
x^2 / 4 - (y - 2)^2 / 9 = 1
This is a hyperbola, lobes left and right, centered at (0, 2) with asymptotes of slope ± 3/2