Question
Write the equation of the ellipse using the given information:
The axis has lengths 2 and 5; the major axis is vertical; and the center of the ellipse is (–1, –2).
The axis has lengths 2 and 5; the major axis is vertical; and the center of the ellipse is (–1, –2).
Answers
Steve
b = 5/2
a = 1
(x+1)^2/1 + (y+2)^2/(25/4) = 1
or
(x+1)^2 + 4(y+2)^2/25 = 1
http://www.wolframalpha.com/input/?i=ellipse+(x%2B1)%5E2%2F1+%2B+(y%2B2)%5E2%2F(25%2F4)+%3D+1
a = 1
(x+1)^2/1 + (y+2)^2/(25/4) = 1
or
(x+1)^2 + 4(y+2)^2/25 = 1
http://www.wolframalpha.com/input/?i=ellipse+(x%2B1)%5E2%2F1+%2B+(y%2B2)%5E2%2F(25%2F4)+%3D+1