SOLUTION: Graph the following conic section 9y^2-4x^2-8x-4=36 Then name(if any) the center, domain, range, vertices, focus point, directrix

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: Graph the following conic section 9y^2-4x^2-8x-4=36 Then name(if any) the center, domain, range, vertices, focus point, directrix      Log On


   

Question 917609: Graph the following conic section
9y^2-4x^2-8x-4=36
Then name(if any) the center, domain, range, vertices, focus point, directrix
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
Graph the following conic section
9y^2-4x^2-8x-4=36
Then name(if any) the center, domain, range, vertices, focus point, directrix
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9y^2-4x^2-8x-4=36
complete the square:
9y^2-4(x^2+2x+1)=36+4-4
9y^2-4(x+1)^2=36
y%5E2%2F4-%28x%2B1%29%5E2%2F9=1
This is an equation of a hyperbola with vertical transfer axis with center at (-1,0)see graph below:
y=(4+(4/9)(x+2)^2)^.5