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Pre-Calculus Practice Problem 260

Pre-Calculus Practice Problem 260 - Unit 8 Activity 3 Using...

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Unit 8, Activity 3, Using Eccentricity to Write Equations and Graph Conics with Answers Blackline Masters, Advanced Math – Pre-Calculus Page Louisiana Comprehensive Curriculum, Revised 2008 258 1. Identify the conic and find its equation having the given properties: a) Focus at (2, 0); directrix: x = -4; e = ½ 3 24 4 0 2 2 x x y + = ellipse b) Focus at (-3, 2); directrix x = 1; e = 3 8 24 4 4 0 2 2 x x y y + = hyperbola c) Center at the origin ; foci on the x-axis ; e = 2 ; containing the point (2, 3) 3 4 0 2 2 2 x y y + = hyperbola d) Center at (4, -2); one vertex at (9, -2), and one focus at (0, -2) x y + + = 4 25 2 9 0 2 2 b g b g ellipse e) One focus at ) 1 , 13 3 3 ( , asymptotes intersecting at (-3, 1), and one asymptote passing through the point (1, 7) x y + = 3 36 1 81 1 2 2 b g b g hyperbola 2. Find the eccentricity, center, foci, and vertices of the given ellipse and draw a sketch of the graph. a) ( ) ( ) x y + + = 1 9 6 9 2 2 eccentricity is
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