SOLUTION: An ellipse is defined as (x-h)^2/a^2+(y-k)^2/9=1. The ellipse has vertices at (4,-1)and (0,-1). Determine the values of h, k, and a.

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: An ellipse is defined as (x-h)^2/a^2+(y-k)^2/9=1. The ellipse has vertices at (4,-1)and (0,-1). Determine the values of h, k, and a.      Log On


   

Question 768805: An ellipse is defined as (x-h)^2/a^2+(y-k)^2/9=1. The ellipse has vertices at (4,-1)and (0,-1).
Determine the values of h, k, and a.
Answer by lwsshak3(11628) About Me  (Show Source):
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An ellipse is defined as (x-h)^2/a^2+(y-k)^2/9=1. The ellipse has vertices at (4,-1)and (0,-1).
Determine the values of h, k, and a.
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given ellipse has a horizontal major axis. (x-coordinates of vertices change but y-coordinates do not)
Its standard form of equation: %28x-h%29%5E2%2Fa%5E2%2B%28y-k%29%5E2%2Fb%5E2=1, a>b, (h,k)=(x,y) coordinates of center.
For given equation:
center: (2,-1)=(h,k)
length of major axis=4=2a
a=2
no solution:
problem not written correctly.
b=3, a=2
a>b