document.write( "Question 1092125: Rewrite the relation as a conic in standard form, then sketch the graph of the relation. \r
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Algebra.Com's Answer #706659 by ikleyn(52794) $\"\"$ $\"About$

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\n" ); document.write( "Rewrite the relation as a conic in standard form, then sketch the graph of the relation. \r
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document.write( "2x =    ====>  square both sides  ====>\r\n" );
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document.write( " =  ====>  collect all retms in the left side  ====>\r\n" );
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document.write( " = 0  ====> Complete the square in the group of y-terms  ====>\r\n" );
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document.write( " +  = 16  ====>  Divide both sides by 16  ====>\r\n" );
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document.write( " +  = 1.\r\n" );
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document.write( "You got the standard equation of an ellipse.\r\n" );
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document.write( "The major axis is parallel to y-axis and is vertical.\r\n" );
document.write( "The minor axis is parallel to x-axis and is horizontal.\r\n" );
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document.write( "The major semi-axis has the length of 4 units.\r\n" );
document.write( "The minor semi-axis has the length of 2 units.\r\n" );
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document.write( "The ellipse is taller than wide.\r\n" );
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document.write( "The center is at the point (x,y) = (0,2).\r\n" );
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document.write( "The linear eccentricity is  =  = .\r\n" );
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document.write( "The foci are at the points (,)  and  (,)\r\n" );
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\n" ); document.write( "\n" ); document.write( "            Ellipse $\"x%5E2%2F4\"$ + $\"%28y-2%29%5E2%2F16\"$ = 1\r
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\n" ); document.write( "See the lessons in this site\r
\n" ); document.write( "\n" ); document.write( "    - Ellipse definition, canonical equation, characteristic points and elements \r
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\n" ); document.write( "\n" ); document.write( "    - Standard equation of an ellipse\r
\n" ); document.write( "\n" ); document.write( "    - Identify elements of an ellipse given by its standard equation\r
\n" ); document.write( "\n" ); document.write( "    - Find the standard equation of an ellipse given by its elements\r
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\n" ); document.write( "\n" ); document.write( "    - General equation of an ellipse\r
\n" ); document.write( "\n" ); document.write( "    - Transform a general equation of an ellipse to the standard form by completing the square\r
\n" ); document.write( "\n" ); document.write( "    - Identify elements of an ellipse given by its general equation\r
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\n" ); document.write( "\n" ); document.write( "Also, you have this free of charge online textbook in ALGEBRA-II in this site\r
\n" ); document.write( "\n" ); document.write( "    ALGEBRA-II - YOUR ONLINE TEXTBOOK.\r
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\n" ); document.write( "\n" ); document.write( "The referred lessons are the part of this online textbook under the topic
\n" ); document.write( "\"Conic sections: Ellipses. Definition, major elements and properties. Solved problems\".\r
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\n" ); document.write( "\n" ); document.write( "Save the link to this textbook together with its description\r
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\n" ); document.write( "\n" ); document.write( "Free of charge online textbook in ALGEBRA-II
\n" ); document.write( "https://www.algebra.com/algebra/homework/complex/ALGEBRA-II-YOUR-ONLINE-TEXTBOOK.lesson\r
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\n" ); document.write( "\n" ); document.write( "into your archive and use when it is needed.\r
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