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Find the vertices of the equation: -4x^2 + y^2 -2y = 3
Enter your answer as a list of pairs separated by commas.

 

I thought the answer was (0,4), and (0,-2) but I was incorrect. Please help!

 Dec 8, 2018
 #1
avatar+100564 
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Using the answer to your other question, the equation of the hyperbola was found to be

 

(y - 1)^2      -   (x - 0)^2

________      ________ =   1

      4                 1

 

The center is   (0, 1)  = (h, k)

 

a = sqrt (4)  =  2  

 

The vertices  are given by

 

(h, k+a)   and  (h, k - a) =

 

(0, 1 + 2)  and   (0, 1 - 2) =

 

(0, 3)   and (0, -1)

 

 

cool cool cool

 Dec 8, 2018

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