SOLUTION: Hello, I wonder if someone can help me on this homework problem? Find the vertices, foci, and eccentricity of the ellipse. Determine lengths of major and minor axes, and sketch

Question 692187: Hello, I wonder if someone can help me on this homework problem?
Find the vertices, foci, and eccentricity of the ellipse. Determine lengths of major and minor axes, and sketch the graph.
{{x�2+4y�2=1}}

Thank you.
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
Find the vertices, foci, and eccentricity of the ellipse. Determine lengths of major and minor axes, and sketch the graph.
{{x�2+4y�2=1}}
**
Standard form of equation for an ellipse with horizontal major axis:
, a>b, (h,k)=(x,y) coordinates of center
..
Rewrite given equation into standard form:
center:0,0)
a^2=1
a=1
length of major axis = 2a=2
..
b^2=1/4
b=1/2
length of minor axis=2b=1
see graph below:
y=�(1/4-x^2/4)^.5

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