Stitz-Zeager_College_Algebra_e-book

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Unformatted text preview: f latus rectum (1, −2), (1, −6) −1 −1 1 2 3 x 4 −2 −3 −4 −5 −6 −7 −8 (c) (x − 3)2 = −16y Vertex (3, 0) Focus (3, −4) Directrix y = 4 Endpoints of latus rectum (−5, −4), (11, −4) y 4 3 2 1 −5 −4 −3 −2 −1 −1 1 2 3 4 5 −2 −3 −4 y 72 3 5 =2 y+ 2 7 5 Vertex − 3 , − 2 Focus − 7 , −2 3 Directrix y = −3 Endpoints of latus rectum − 10 , −2 , − 4 , −2 3 3 (d) x + 2 1 −5 −4 −3 −2 −1 x −1 −2 −3 6 7 8 9 10 11 x 7.3 Parabolas 417 y (e) (x − 1)2 = 4(y + 3) Vertex (1, −3) Focus (1, −2) Directrix y = −4 Endpoints of latus rectum (3, −2), (−1, −2) −3 −2 −1 1 2 3 x 4 −1 −2 −3 −4 y (f) (x + 2)2 = −20(y − 5) 10 Vertex (−2, 5) Focus (−2, 0) Directrix y = 10 Endpoints of latus rectum (−12, 0), (8, 0) 9 8 7 6 5 4 3 2 1 −12 −10 −8 −6 −4 −2 4 6 8 x y (g) (y − 4)2 = 18(x − 2) Vertex (2, 4) Focus 123 , 4 Directrix x = − 5 2 Endpoints of latus rectum 2 13 11 9 13 2 , −5 , 13 2 , 13 7 5 3 1 −1 1 − 1 2 3 4 5 −3 5 y 32 2 = −7 x + 9 2 9 Vertex − 2 , − 3 2 Focus − 25 , − 3 4 2 Directrix x = − 11 4 Endpoints of latus rectum − 25 , 2 , − 25 , −5 4 4 (h) y + 2 1 x −5 −4 −3 −2 −1 −1 −2 −3 −4 −5 6 7 x 418 Hooked on Conics 2. (a) (y − 5)2 = 27(x − 4) Vertex (4, 5) Focus 443 , 5 Directrix x = − 11 4 1 (d) (y + 1)2 = − 2 (x − 10) Vertex (10, −1) Focus 789 , −1 Directrix x = 81 8 2 (e) (x − 5)2 = −12(y − 2) Verte...
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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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