The parametric equations of a hyperbola are x=h+a sect and y = k +btan t, where (h,k) is the center, a is the distance from the center to a vertex of the hyperbola, and c is the distance from the center to a focus of the hyperbola with c2 = a? +b? Find a set of parametric equations for a hyperbola with vertices at (4,0) and (- 4,0) and foci at (8,0) and (- 8,0). The parametric equations for a hyperbola are x= (Simplify your answer. Type exact answers, using radicals as needed ) and y =

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter7: Conic Sections
Section7.3: Hyperbolas
Problem 52E
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The parametric equations of a hyperbola are x =h +a sect and y = k +btant, where (h.k) is the center, a is the distance from the center to a vertex of the hyperbola, and c is the distance
from the center to a focus of the hyperbola with c2 = a? + b2
Find a set of parametric equations for a hyperbola with vertices at (4,0) and (- 4,0) and foci at (8,0) and (-8,0).
The parametric equations for a hyperbola are x= and y =
(Simplify your answer. Type exact answers, using radicals as needed )
Transcribed Image Text:The parametric equations of a hyperbola are x =h +a sect and y = k +btant, where (h.k) is the center, a is the distance from the center to a vertex of the hyperbola, and c is the distance from the center to a focus of the hyperbola with c2 = a? + b2 Find a set of parametric equations for a hyperbola with vertices at (4,0) and (- 4,0) and foci at (8,0) and (-8,0). The parametric equations for a hyperbola are x= and y = (Simplify your answer. Type exact answers, using radicals as needed )
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