Stitz-Zeager_College_Algebra_e-book

4 3 1 consistent dependent solution 2t 35 t 4 for all

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Unformatted text preview: mptotes. y 2 x2 − 9 16 (x − 2)2 (b) 4 (y − 3)2 (c) 11 (x + 4)2 (d) 16 (a) =1 (y + 3)2 =1 9 (x − 1)2 − =1 10 (y − 4)2 − =1 1 (e) (x + 1)2 (y − 3)2 − =1 9 4 (f) (y + 2)2 (x − 5)2 − =1 16 20 (g) (x − 4)2 (y − 2)2 − =1 8 18 − 2. Put the equation in standard form. Find the center, the lines which contain the transverse and conjugate axes, the vertices, the foci and the equations of the asymptotes. (a) 12x2 − 3y 2 + 30y − 111 = 0 (c) 9x2 − 25y 2 − 54x − 50y − 169 = 0 (b) 18y 2 − 5x2 + 72y + 30x − 63 = 0 (d) −6x2 + 5y 2 − 24x + 40y + 26 = 0 3. Find the standard form of the equation of the hyperbola which has the given properties. (a) Center (3, 7), Vertex (3, 3), Focus (3, 2) (b) Vertex (0, 1), Vertex (8, 1), Focus (−3, 1) √ 35 (c) Foci (0, ±5), Point on curve 2, 2 1 (d) Vertex (−10, 5), Asymptotes y = ± 2 (x − 6) + 5 4. The graph of a vertical or horizontal hyperbola clearly fails the Vertical Line Test, Theorem 1.1, so the equation of a vertical of horizontal hyperbola does not de...
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This note was uploaded on 05/03/2013 for the course MATH Algebra taught by Professor Wong during the Fall '13 term at Chicago Academy High School.

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