Name: 
 

Hyperbolas



Multiple Choice
Identify the choice that best completes the statement or answers the question.
 
 
Write an equation for the hyperbola that satisfies the given set of conditions.
 

 1. 

Vertices mc001-1.jpg and mc001-2.jpg, conjugate axis of length 4 units.
a.
mc001-7.jpg
c.
mc001-9.jpg
b.
mc001-8.jpg
d.
mc001-10.jpg
 

 2. 

Find the coordinates of the vertices and foci and the equations of the asymptotes for the hyperbola with the equation mc002-1.jpg. Then graph the hyperbola.
a.
The coordinates of the vertices are mc002-7.jpg.
The coordinates of the foci are (0,mc002-8.jpg mc002-9.jpg).
The equations of the asymptote is mc002-10.jpg.mc002-11.jpg.
c.
The coordinates of the vertices are mc002-17.jpg.
The coordinates of the foci are (mc002-18.jpg mc002-19.jpg, 0).
The equations of the asymptote is mc002-20.jpg.mc002-21.jpg
b.
The coordinates of the vertices are mc002-12.jpg.
The coordinates of the foci are (0, mc002-13.jpg mc002-14.jpg).
The equation of the asymptotes is mc002-15.jpg.mc002-16.jpg
d.
The coordinates of the vertices are mc002-22.jpg
The coordinates of the foci are (mc002-23.jpg mc002-24.jpg, 0).
The equation of the asymptotes is mc002-25.jpg.mc002-26.jpg
 

 3. 

Find the coordinates of the vertices and foci and the equations of the asymptotes for the hyperbola with the equation mc003-1.jpg. Then graph the hyperbola.
a.
The coordinates of the vertices are mc003-7.jpg.
The coordinates of the foci are (0, mc003-8.jpg mc003-9.jpg).
The equation of the asymptotes is mc003-10.jpg.mc003-11.jpg
c.
The coordinates of the vertices are mc003-17.jpg.
The coordinates of the foci are (mc003-18.jpg mc003-19.jpg, 0).
The equation of the asymptotes is mc003-20.jpg.mc003-21.jpg     
b.
The coordinates of the vertices are mc003-12.jpg.
The coordinates of the foci are (0, mc003-13.jpg mc003-14.jpg).
The equation of the asymptotes is mc003-15.jpg.mc003-16.jpg     
d.
The coordinates of the vertices are mc003-22.jpg.
The coordinates of the foci are (mc003-23.jpg mc003-24.jpg, 0).
The equation of the asymptotes is mc003-25.jpg.mc003-26.jpg     
 



 
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