NAME__________________________________________________________________ DATE________________________ 



UNIT 8 - OBJECTIVE 4 -WORKSHEET






Find the coordinates of the vertices and foci of the given hyperbolas.  
Sketch the curve.

1) x  2 - y  2=1
    16      4


2) y  2 - x  2=1
     2      2


3) x2-9y2=81


4) 3y2-2x2=6



Find the equations of the hyperbolas satisfying the given conditions.  The
center of each is at the origin.

5) vertex (0,1) focus (0, squareroot 3)


6) passes through (8, squareroot 3) vertex (4,0)

Unit 8 Outline