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Unit 8, Activity 3, Using Eccentricity to Write Equations and Graph
Conics with Answers
Blackline Masters, Advanced Math – PreCalculus
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
32
4
4
0
22
xx
y
−+=
ellipse
b) Focus at (3, 2); directrix x = 1;
e
= 3
82
4
4
4
0
y
y
−−
+
−
=
hyperbola
c) Center at the origin ; foci on the xaxis ;
e
= 2 ; containing the point (2, 3)
34
0
2
xy
y
−+
=
hyperbola
d) Center at (4, 2); one vertex at (9, 2), and one focus at (0, 2)
−
+
+
=
4
25
2
9
0
bg
ellipse
e) One focus at
)
1
,
13
3
3
(
−
−
, asymptotes intersecting at (3, 1), and one
asymptote passing through the point (1, 7)
+
−
−
=
3
36
1
81
1
hyperbola
2. Find the eccentricity, center, foci, and vertices of the given ellipse and draw a sketch of
the graph.
a)
()(
)
++
−
=
19
6
9
eccentricity 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.
 Fall '08
 GERMAN
 Calculus, PreCalculus, Equations

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