SOLUTION: Please help! Find the standard form of the equations of the ellipses with the given characteristics: Center(2,-1, Vertex (2, 1/2) minor axis length 2. The only thing I know is

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: Please help! Find the standard form of the equations of the ellipses with the given characteristics: Center(2,-1, Vertex (2, 1/2) minor axis length 2. The only thing I know is       Log On


   

Question 857892: Please help!
Find the standard form of the equations of the ellipses with the given characteristics: Center(2,-1, Vertex (2, 1/2) minor axis length 2.
The only thing I know is that b=1, if I am correct (2b=2, b=1)
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
You are correct, b=1 .
Also a is the distance from vertex (2, 1/2) to center (2,-1),
a=1%2F2-%28-1%29=3%2F2
x%5E2%2F1%5E2%2By%5E2%2F%283%2F2%29%5E2=1 or x%5E2%2F1%2By%5E2%2F%289%2F4%29=1 would be the standard form,
but I think it looks prettier as
x%5E2%2B4y%5E2%2F9=1 .