Question

The equation of a hyperbola is given. Complete parts a through a $4x^2 - y^2 - 64 = 0$ The vertex/vertices is/are (Type an ordered pair, using integers or fractions. Use a comma to separate answers as needed.) The focus/foci is/are (Type an ordered pair. Type exact answers, using radicals as needed. Use a comma to separate answers.) The transverse axis of the hyperbola is the b. State how the hyperbola opens. The hyperbola opens c. Find the vertices of the fundamental rectangle. The vertex/vertices of the fundamental rectangle is/are (Type an ordered pair, using integers or fractions. Use a comma to separate answers as needed.) d. Write the equations of the asymptotes The equation of the asymptote with the positive slope is The equation of the asymptote with the negative slope is (Simplify your answers. Use integers or fractions for any numbers in the equation.) e. Graph the hyperbola by using the vertices and the asymptotes. Choose the correct graph of the hyperbola. A. B. C. D.

          The equation of a hyperbola is given. Complete parts a through a
$4x^2 - y^2 - 64 = 0$
The vertex/vertices is/are 
(Type an ordered pair, using integers or fractions. Use a comma to separate answers as needed.)
The focus/foci is/are 
(Type an ordered pair. Type exact answers, using radicals as needed. Use a comma to separate answers.)
The transverse axis of the hyperbola is the 
b. State how the hyperbola opens.
The hyperbola opens 
c. Find the vertices of the fundamental rectangle.
The vertex/vertices of the fundamental rectangle is/are 
(Type an ordered pair, using integers or fractions. Use a comma to separate answers as needed.)
d. Write the equations of the asymptotes
The equation of the asymptote with the positive slope is The equation of the asymptote with the negative slope is 
(Simplify your answers. Use integers or fractions for any numbers in the equation.)
e. Graph the hyperbola by using the vertices and the asymptotes. Choose the correct graph of the hyperbola.
A.
B.
C.
D.

$The equation of a hyperbola is given. Complete parts a through a 4x^2 - y^2 - 64 = 0 The vertex/vertices is/are (Type an ordered pair, using integers or fractions. Use a comma to separate answers as needed.) The focus/foci is/are (Type an ordered pair. Type exact answers, using radicals as needed. Use a comma to separate answers.) The transverse axis of the hyperbola is the b. State how the hyperbola opens. The hyperbola opens c. Find the vertices of the fundamental rectangle. The vertex/vertices of the fundamental rectangle is/are (Type an ordered pair, using integers or fractions. Use a comma to separate answers as needed.) d. Write the equations of the asymptotes The equation of the asymptote with the positive slope is The equation of the asymptote with the negative slope is (Simplify your answers. Use integers or fractions for any numbers in the equation.) e. Graph the hyperbola by using the vertices and the asymptotes. Choose the correct graph of the hyperbola. A. B. C. D.$

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