Kuta Software - Infinite Algebra 2
Name___________________________________
Graphing and Properties of Ellipses
Date________________ Period____
Identify the center, vertices, co-vertices, foci, length of the major axis, and length of the minor axis of each.
2
2
2
2
x
y
1)
+
=1
49 169
x
y
2)
+
=1
36 16
x2
y2
3)
+
=1
95 30
x2
y2
4)
+
=1
169 64
x 2 ( y − 6) 2
5)
+
=1
64
121
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6)
-1-
( x + 5) 2
81
+
( y − 1) 2
=1
144
Worksheet by Kuta Software LLC
7)
( x − 3) 2
+
( y − 9) 2
49
=1
8)
4
x 2 ( y − 8) 2
+
=1
64
9
Graph each equation.
x2
y2
9)
+
=1
4
9
x2
2
10)
+ y =1
49
y
−8
−6
−4
y
8
8
6
6
4
4
2
2
−2
2
4
6
8 x
−8
−6
−4
−2
2
−2
−2
−4
−4
−6
−6
−8
−8
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-2-
4
6
8 x
Worksheet by Kuta Software LLC
11)
x2
y2
+
=1
36 25
12)
x2
y2
+
=1
9
49
y
−8
−6
−4
y
8
8
6
6
4
4
2
2
−2
2
4
6
8 x
−8
−6
−4
−2
2
−2
−2
−4
−4
−6
−6
−8
−8
x 2 ( y − 3) 2
13)
+
=1
49
16
14)
( x − 1) 2
4
−6
−4
8 x
4
6
8 x
y
8
8
6
6
4
4
2
2
−2
6
y2
+
=1
49
y
−8
4
2
4
6
8 x
−8
−6
−4
−2
2
−2
−2
−4
−4
−6
−6
−8
−8
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-3-
Worksheet by Kuta Software LLC