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 2581. Identify the conic and find its equation having the given properties: a) Focus at (2, 0); directrix: x = -4; e= ½ 3244022xxy−+=ellipse b) Focus at (-3, 2); directrix x = 1; e= 3 824440yy−−+−=hyperbola c) Center at the origin ; foci on the x-axis ; e= 2 ; containing the point (2, 3) 3402xyy−+=hyperbola d) Center at (4, -2); one vertex at (9, -2), and one focus at (0, -2) −++=425290bgellipse e) One focus at )1,1333(−−, asymptotes intersecting at (-3, 1), and one asymptote passing through the point (1, 7) +−−=3361811hyperbola 2. Find the eccentricity, center, foci, and vertices of the given ellipse and draw a sketch of the graph. a) ()()++−=1969eccentricity is
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This note was uploaded on 10/10/2011 for the course MAC 1147 taught by Professor German during the Fall '08 term at University of Florida.