2 2 y 1 x 7 1 20 10 x 3 2 8 y 4 6 y 6 4 4 2 6 2 2 2 4

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Unformatted text preview: 14) Foci: (−2, −8 + 61 ), (−2, −8 − Opens up/down 173 , −8) 61 ) Identify the vertices and foci of each. Then sketch the graph. 2 2 ( y + 1) x 7) − =1 20 10 ( x − 3) 2 8) y − 4 6 y 6 −4 4 2 −6 2 −2 2 4 6 8x −8 −6 −4 −2 2 −2 ( y − 1) 2 − −8 ( x + 1) 2 9 2 =1 10) 16 y 2 ( x − 2) y − =1 9 9 y Vertices: (−1, 4) (−1, −2) Foci: (−1, 6) (−1, −4) 8 6 6 −4 4 2 −6 Vertices: (2, 3) (2, −3) Foci: (2, 3 2 ) (2, −3 2 ) 8 4 −8 8x −6 −8 6 −4 −6 4 −2 −4 9) Vertices: (5, −1) (1, −1) Foci: (3 + 13 , −1) (3 − 13 , −1) 8 4 −8 =1 9 Vertices: (2 5 , −1) (−2 5 , −1) Foci: ( 30 , −1) (− 30 , −1) 8 ( y + 1) 2 2 −2 2 4 6 8x −8 −6 −4 −2 2 −2 −2 −4 −4 −6 −6 −8 −8 -1- 4 6 8x 2 11) 2 2 y x − =1 25 25 12) y 2 ( y − 2) x − =1 25 4 y Vertices: (0, 5) (0, −5) Foci: (0, 5 2 ) (0, −5 2 ) 8 6 6 4 −6 −4 4 2 −8 2 −2 2 4 6 8x −8 −6 −4 −2 2 −2 ( x − 1) 2 − −8 ( y − 3) 2 4 2 =1 14) 4 y 2 y x − =1 9 25 y Vertices: (3, 3) (−1, 3) Foci: (1 + 2 2 , 3) (1 − 2 2 , 3) 8 6 6 −4 4 2 −6 Vertices: (0, 3) (0, −3) Foci: (0, 34 ) (0, − 34 ) 8 4 −8 8x −6 −8 6 −4 −6 4 −2 −4 13) Vertices: (5, 2) (−5, 2) Foci: ( 29 , 2) (− 29 , 2) 8 2 −2 2 4 6 8x −8 −6 −4 −2 2 −2 −4 8x −6 −8 6 −4 −6 4 −2 −8 Identify the asymptotes, length of the transverse axis, length of the conjugate axis, length of the latus rectum, and eccentricity of each. 15) −10 y − y 2 = −4 x 2 − 72 x − 199 16) − y 2 + 12 y − 19 = 18 x − x 2 Asym.: y = 2 x + 13 y = − 2 x − 23 Transverse Axis: 10 units Conjugate Axis: 20 units Latus Rectum: 40 units Eccentricity: 5 ≈ 2.236 Asym.: y = x − 3 y = − x + 15 Transverse Axis: 16 units Conjugate Axis: 16 units Latus Rectum: 16 units Eccentricity: 2 ≈ 1.414 -2-...
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This note was uploaded on 07/01/2012 for the course MATH 101 taught by Professor K during the Spring '12 term at National University of Singapore.

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