K
E
2
O
x
L
x = foci
x
Y
2
x
y


1
2
2
a
b
*Parent graph:
center is at the origin
*2 axes of symmetry
*EY is the major axis and
always contains the foci
*KL is the minor axis
K
E
O
x
L
x = foci
x
*vertices: the
endpoints of each axis
Y
*EO & OY are the
semi-major axes (a)
(so major axis EY = 2a)
*KO & OL are the
semi-minor axes (b)
(so minor axis KL = 2b)
* foci are c units from
the center
Please see orange formula sheet
for more details about the ellipse:
( x  h) ( y  k )

1
2
2
a
b
2
2
foci: c  a  b
2
2
( x  h) ( y  k )

1
2
2
b
a
2
2
2
HOMEWORK HELP:
HOMEWORK HELP:
HOMEWORK HELP: #9 continued