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Stitz-Zeager_College_Algebra_e-book

# 12 1 we shall study the coecient and constant

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Unformatted text preview: 1 − 1 6 −2 −3 (d) (x+4)2 16 2 − (y−4) = 1 1 Center (−4, 4) Transverse axis on y = 4 Conjugate axis on x = −4 Vertices (−8, 4), (0, 4) √ √ Foci (−4 + 17, 4), (−4 − 17, 4) Asymptotes y = ± 1 (x + 4) + 4 4 y 5 4 3 2 1 −11−10 −9 −8 −7 −6 −5 −4 −3 −2 −1 1 2 3 x 7.5 Hyperbolas (e) (f) (x + 1)2 (y − 3)2 − =1 9 4 Center (−1, 3) Transverse axis on y = 3 Conjugate axis on x = −1 Vertices (2, √ , (−4, 3) 3) √ Foci −1 + 13, 3 , −1 − 13, 3 2 Asymptotes y = ± 3 (x + 1) + 3 (y + 2)2 (x − 5)2 − =1 16 20 Center (5, −2) Transverse axis on x = 5 Conjugate axis on y = −2 Vertices (5, 2), (5, −6) Foci (5, 4) , (5, −8) √ Asymptotes y = ± 2 5 5 (x − 5) − 2 447 y 5 4 3 2 1 −7 −6 −5 −4 −3 −2 −1 1 2 3 4 5 x x y 4 3 2 1 −1 −1 1 2 3 4 5 6 7 8 9 10 11 2 3 4 5 6 7 8 −2 −3 −4 −5 −6 −7 −8 (g) (x − 4)2 (y − 2)2 − =1 8 18 Center (4, 2) Transverse axis on y = 2 Conjugate axis√ x = 4 on √ Vertices 4 + 2 2,...
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