document.write( "Question 1026748: giving reasons, identify the following conic sections
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Algebra.Com's Answer #642045 by ikleyn(52797) $\"\"$ $\"About$

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\n" ); document.write( "giving reasons, identify the following conic sections
\n" ); document.write( "i)16y=-4x^2+64
\n" ); document.write( "ii)4-4x-y=y^2+x^2
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document.write( "1.  = .\r\n" );
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document.write( "   This equation is equivalent to\r\n" );
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document.write( "    = ,   or\r\n" );
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document.write( "    = .\r\n" );
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document.write( "   It is the equation of a parabola opened downward and symmetric about the vertical axis x = 0.\r\n" );
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document.write( "   Its vertex is V = (0, 4).  y-intercept is y = 4.  x-intercepts are x = -4 and x = 4.\r\n" );
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2.  = .\r\n" );
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document.write( "   This equation is equivalent to \r\n" );
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document.write( "    = .\r\n" );
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document.write( "   Complete the squares in x and y separately. You will get an equivalent equation\r\n" );
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document.write( "    = ,   or\r\n" );
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document.write( "    = ,   or\r\n" );
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document.write( "    = .\r\n" );
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document.write( "   It is the equation of the circle with the center at  (x,y) = (-2,)  and the radius of  .\r\n" );
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