document.write( "Question 1103754: write an equation for the following conic. if it is a parabola, it has a vertex at the origin, and if it is an ellipse or a hyperbola, it is centered at the origin. vertex at (-2,0) and e= 3 \n" ); document.write( "
Algebra.Com's Answer #718447 by Fombitz(32388)\"\" \"About 
You can put this solution on YOUR website!
Hyperbolas have eccentricities greater than 1.
\n" ); document.write( "The vertices are 2 units from the center so \"a=2\"
\n" ); document.write( "\"e=c%2Fa\"
\n" ); document.write( "\"3=c%2F2\"
\n" ); document.write( "\"c=6\"
\n" ); document.write( "and
\n" ); document.write( "\"a%5E2%2Bb%5E2=c%5E2\"
\n" ); document.write( "\"2%5E2%2Bb%5E2=6%5E2\"
\n" ); document.write( "\"b%5E2=36-4\"
\n" ); document.write( "\"b%5E2=32\"
\n" ); document.write( "So,
\n" ); document.write( "\"highlight_green%28%28x-2%29%5E2%2F4-y%5E2%2F32=1%29\"\r
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