Asked by Donald Blake
What are the foci, vertices, transverse axis, conjugate axis, and center of the ellispe, (x-2)24-(y-4)216=1?
Answers
Answered by
oobleck
If you meant
(x-2)^2/4-(y-4)^2/16=1
then the major axis is vertical, and you have
center at (2,4)
a = 4
b = 2
c = √12
foci at (2,4±√12)
vertices at (2,4±4) and (2±2,4)
Now use the definitions of the axes to finish it up.
(x-2)^2/4-(y-4)^2/16=1
then the major axis is vertical, and you have
center at (2,4)
a = 4
b = 2
c = √12
foci at (2,4±√12)
vertices at (2,4±4) and (2±2,4)
Now use the definitions of the axes to finish it up.
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