Write the equation of the hyperbola with centre at (-3, –1), vertex at (-6, -1), one asymptote with equation 2x – 3y = -9. (x+ 3)² (y + 1)² = 1 4 (ӕ — 3)2 (y + 1)² 1 4 9 (x+ 3)² (y – 1)2 1 4 9. (x – 3)² (y + 1)² = 1 4 ||

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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Write the equation of the hyperbola with centre at (-3, –1), vertex at (-6, -1), one
asymptote with equation 2x – 3y = -9.
(x+ 3)²
(y + 1)²
= 1
4
(ӕ — 3)2
(y + 1)²
1
4
9
(x+ 3)²
(y – 1)2
1
4
9.
(x – 3)²
(y + 1)²
= 1
4
||
Transcribed Image Text:Write the equation of the hyperbola with centre at (-3, –1), vertex at (-6, -1), one asymptote with equation 2x – 3y = -9. (x+ 3)² (y + 1)² = 1 4 (ӕ — 3)2 (y + 1)² 1 4 9 (x+ 3)² (y – 1)2 1 4 9. (x – 3)² (y + 1)² = 1 4 ||
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