characteristics of ellipses
DESCRIPTION
Characteristics of Ellipses. Ellipse. Distance from center to vertex = a. c 2 = a 2 - b 2. Distance from center to co-vertex = b. Distance from center to foci = c. b. c. a. Length of Major Axis = 2a. Length of Minor Axis = 2b. Ellipse. a. c. b. - PowerPoint PPT PresentationTRANSCRIPT
Ellipse
c2 = a2 - b2
1)()(
2
2
2
2
bky
ahx
Ellipse
c2 = a2 - b2
1)()(2
2
2
2
aky
bhx
Example 1: Graph the following Ellipse
19)3(
25)2( 22
yx
Foci:
)
Center: (2, -3)
a = 5 b = 3
Example 1: Graph the following Ellipse
19)3(
25)2( 22
yx
a = 5 b = 3 Length of Axis
Major:
Minor:
Center: (2, -3)
Example 2: Graph the following Ellipse
a = 3 b = 2 19)3(
4)1( 22
yx
Foci:
Center: (-1, -3)
Example 2: Graph the following Ellipse
a = 3 b = 2 19)3(
4)1( 22
yx
Length of AxisMajor:
Minor:
Center: (-1, -3)
Example 3: Graph the following Ellipse
116)5(
49)1( 22
yxCenter: (-1, 5)
a = 7 b = 4
Foci:
Example 3: Graph the following Ellipse
116)5(
49)1( 22
yxCenter: (-1, 5)
a = 7 b = 4 Length of Axis
Major:
Minor:
Example 4: Graph the following Ellipse
181)1(
36)2( 22
yxCenter: (-2, 1)
a = 9 b = 6
Foci:
Example 4: Graph the following Ellipse
181)1(
36)2( 22
yxCenter: (-2, 1)
a = 9 b = 6 Length of Axis
Major:
Minor:
Example 5: Graph the following EllipseCenter: (4, 3)
a = 5 b = 2 1
4)3(
25)4( 22
yx
Foci:
Example 5: Graph the following EllipseCenter: (4, 3)
a = 5 b = 2 1
4)3(
25)4( 22
yx
Length of AxisMajor:
Minor: