The hyperbola (x2/16) - (y2/9) = 1 is shifted 2 units to the right to generate the hyperbola (x - 2)2 /16 - y2 /9 = 1. a. Find the center, foci, vertices, and asymptotes of the new hyperbola. b. Plot the new center, foci, vertices, and asymptotes, and sketch in the hyperbola.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.3: Hyperbolas
Problem 30E
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The hyperbola (x2/16) - (y2/9) = 1 is shifted 2 units to the right to generate the hyperbola

(x - 2)2 /16 - y2 /9 = 1.

a. Find the center, foci, vertices, and asymptotes of the new hyperbola.

b. Plot the new center, foci, vertices, and asymptotes, and sketch in the hyperbola.

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