document.write( "Question 691496: graph the ellipse using the proper algebra
\n" ); document.write( "x^2+(y^2/12)=1 \n" ); document.write( "
Algebra.Com's Answer #426787 by lwsshak3(11628)\"\" \"About 
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graph the ellipse using the proper algebra
\n" ); document.write( "x^2+(y^2/12)=1
\n" ); document.write( "This is an equation of an ellipse with vertical major axis.
\n" ); document.write( "Its standard form: \"%28x-h%29%5E2%2Fb%5E2%2B%28y-k%29%5E2%2Ca%5E2=1\", a>b, (h,k)=(x,y) coordinates of center.
\n" ); document.write( "For given equation: x^2+(y^2/12)=1
\n" ); document.write( "center: (0,0)
\n" ); document.write( "a^2=12
\n" ); document.write( "a=√12≈3.46
\n" ); document.write( "vertices: (0,0±a)=(0,0±√12)=(0,0±3.46)=(0,-3.46) and (0,3.46) (y-intercepts)
\n" ); document.write( "b^2=1
\n" ); document.write( "b=1
\n" ); document.write( "x-intercepts:(±1,0)=(-1,0) and (1,0)
\n" ); document.write( "see graph below as a visual check on the foregoing algebra:
\n" ); document.write( "y=±(12-12x^2)^.5\r
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