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An equation of a hyperbola is given

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An equation of a hyperbola is given.

(x + 2)²/ 9 - (y-2)²/ 16 = 1

a) Find the center, vertices, foci, and asymptotes of the hyperbola. 

center (x,y)

vertex (x,y) smaller x- value

vertex (x,y) larger x- value

focus (x,y) smaller x- value

focus (x,y) larger x- value

asymptotes

 

b)  Sketch a graph showing the hyperbola and its asymptotes