Study Guide 10.3-10.4
Find and list the center, foci, eccentricity for the ellipse. Then sketch its graph.
(x  2)2 (y  3)2

1
9
25
1. 16x 2  25y 2  160x  100y  100  0
2.
center: __________________
center: __________________
foci: ____________________
foci: ____________________
eccentricity: ______________
eccentricity: ______________
Find the standard form of the equation of the ellipse with the given characteristics.
3. Vertices: (-2, 2), (8, 2); minor axis of length 2.
Equation:
Study Guide 10.3-10.4
Find the standard form of the equation of the ellipse with the given characteristics.
4.
vertices (1, 12), (1, -14)
foci (1, 11), (1, -13)
Find the standard form of the equation of the hyperbola with the given characteristics.
5.
vertices (7, -1), (-3, -1)
foci (15, -1), (-11, -1)
Find and list the center, vertices, foci, eccentricity or equations of the asymptotes (if
applicable) for the ellipse or hyperbola. Then sketch its graph.
Find the center, vertices, foci, and the equations of the asymptotes. Sketch the graph.
6.
7.
(x  5)2 (y  3)2

1
36
16
( x  1) 2
 y2  1
4
center: ___________________________
center: ____________________________
vertices: __________________________
vertices: ___________________________
foci: ______________________________
foci: ______________________________
asymptotes:
_____________________
asymptotes: _________________________
eccentricity: ________________________
eccentricity: _________________________
Study Guide 10.3-10.4
8.
9.
9x2 – 16y2 – 18x – 32y – 151 = 0
-4x2 + 25y2 – 8x + 150y + 121 = 0
center: ___________________________
center: ____________________________
vertices: __________________________
vertices: ___________________________
foci: ______________________________
foci: ______________________________
asymptotes:
asymptotes: _________________________
_____________________
Classify the graph of the equation as a circle, parabola, ellipse, or hyperbola.
10. 9x2 – 4y2 + 18x – 199 = 0
11. 3y2 – 12x + 4y + 7 = 0
12. 71x2 + 71y2 – 42x + 31y – 27 = 0