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 and , conjugate axis of length 4 units.
 a. c. b. d.

2.

Find the coordinates of the vertices and foci and the equations of the asymptotes for the hyperbola with the equation . Then graph the hyperbola.
 a. The coordinates of the vertices are .The coordinates of the foci are (0, ).The equations of the asymptote is .. c. The coordinates of the vertices are .The coordinates of the foci are ( , 0).The equations of the asymptote is . b. The coordinates of the vertices are .The coordinates of the foci are (0,  ).The equation of the asymptotes is . d. The coordinates of the vertices are The coordinates of the foci are ( , 0).The equation of the asymptotes is .

3.

Find the coordinates of the vertices and foci and the equations of the asymptotes for the hyperbola with the equation . Then graph the hyperbola.
 a. The coordinates of the vertices are .The coordinates of the foci are (0,  ).The equation of the asymptotes is . c. The coordinates of the vertices are .The coordinates of the foci are ( , 0). The equation of the asymptotes is . b. The coordinates of the vertices are .The coordinates of the foci are (0,  ).The equation of the asymptotes is . d. The coordinates of the vertices are .The coordinates of the foci are ( , 0).The equation of the asymptotes is .