document.write( "Question 459550: write an equation of an ellipse with co-vertices of (-3,0) and (3,0), and vertices (0,-5). Graph the ellipse \n" ); document.write( "

Algebra.Com's Answer #315193 by Edwin McCravy(20056) $\"\"$ $\"About$

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write an equation of an ellipse with co-vertices of (-3,0) and (3,0), and vertices (0,-5). Graph the ellipse
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document.write( "We plot the 2 vertices and the 2 co-vertices: \r\n" );
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document.write( "We sketch in the graph of the ellipse:\r\n" );
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document.write( "The equation of an ellipse with center (0,0) which has its major\r\n" );
document.write( "axis vertical is\r\n" );
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document.write( "x²   y²\r\n" );
document.write( "—— + —— = 1\r\n" );
document.write( "b²   a²\r\n" );
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document.write( "Where \"a\" represents the number of units from the center \r\n" );
document.write( "to either of it vertices and \"b\" represents the number of\r\n" );
document.write( "units from the center to either of its co-vertices.  So\r\n" );
document.write( "a = 5 and b = 3 and the equation is:\r\n" );
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document.write( "x²   y²\r\n" );
document.write( "—— + —— = 1\r\n" );
document.write( "3²   5²\r\n" );
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document.write( "or\r\n" );
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document.write( "x²   y²\r\n" );
document.write( "—— + —— = 1\r\n" );
document.write( "9    25\r\n" );
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document.write( "Edwin

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