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im unsure with this question, can someone help?

 Oct 23, 2019
 #1
avatar+105277 
+2

a  =  the distance between the center and the vertex  (-4,3)  and ( -4,7)  =  4

 

The slope of  one of the asymptotes  is    given by

 

a/b  = 2

 

4 / b  =   2 / 1        and we can write

 

b / 4  =  1 / 2        multiply both sides by    4

 

b  = 2

 

The equation of the hyperbola  is

 

(y - 3)^2            (x +4)^2

_______  -      _________   = 1

   a^2                    b^2

 

 

(y - 3)^2            (x + 4)^2

_______  -      _________  =    1

    16                     4

 

See the graph here : https://www.desmos.com/calculator/dpspqazdsc

 

 

cool cool cool

 Oct 23, 2019

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