document.write( "Question 665077: it says, \"Complete the square and write each equation in the standard form?\"\r
\n" ); document.write( "\n" ); document.write( "ellipse: 4x^2 + 24x + y^2 + 8y = -36\r
\n" ); document.write( "\n" ); document.write( "parabola: x^2 + 12x + 36 = 4y - 28\r
\n" ); document.write( "\n" ); document.write( "please help!
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Algebra.Com's Answer #413656 by MathLover1(20850)\"\" \"About 
You can put this solution on YOUR website!
ellipse: \"4x%5E2+%2B+24x+%2B+y%5E2+%2B+8y+=+-36\"\r
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\n" ); document.write( "\n" ); document.write( "\"4x%5E2+%2B+24x+%2B+y%5E2+%2B+8y+%2B36=0\"\r
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\n" ); document.write( "\n" ); document.write( "\"%284x%5E2+%2B+24x+%2B36%29+%2B+y%5E2+%2B+8y=0\"\r
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\n" ); document.write( "\n" ); document.write( "\"4%28x%5E2+%2B+6x+%2B9%29+%2B+y%5E2+%2B+8y=0\"\r
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\n" ); document.write( "\n" ); document.write( "\"4%28x%2B3%29%5E2+%2B+%28y%5E2+%2B+8y%2B16%29-16=0\"\r
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\n" ); document.write( "\n" ); document.write( "\"4%28x%2B3%29%5E2+%2B+%28y+%2B4%29%5E2=16\"\r
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\n" ); document.write( "\n" ); document.write( "\"4%28x%2B3%29%5E2%2F16+%2B+%28y+%2B4%29%5E2%2F16=16%2F16\"\r
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\n" ); document.write( "\n" ); document.write( "\"%28x%2B3%29%5E2%2F4+%2B+%28y+%2B4%29%5E2%2F16=1\"........\"a%5E2=4\" and \"b%5E2=16\"\r
\n" ); document.write( "\n" ); document.write( "2.\r
\n" ); document.write( "\n" ); document.write( "To convert an equation from standard form to vertex form it is sometimes necessary to be comfortable completing the square.\r
\n" ); document.write( "\n" ); document.write( "The vertex form of a parabola's equation is generally expressed as :\r
\n" ); document.write( "\n" ); document.write( "\"y=+a%28x-h%29%5E2%2Bk\" \r
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\n" ); document.write( "\n" ); document.write( "\"x%5E2+%2B+12x+%2B+36+=+4y+-+28\"\r
\n" ); document.write( "\n" ); document.write( "\"%28x+%2B6%29%5E2+=+4y+-+28\"\r
\n" ); document.write( "\n" ); document.write( "\"%28x+%2B6%29%5E2%2B28+=+4y+\"\r
\n" ); document.write( "\n" ); document.write( "\"%28x+%2B6%29%5E2%2F4%2B28%2F4+=+y+\"\r
\n" ); document.write( "\n" ); document.write( "\"y=%28x+%2B6%29%5E2%2F4%2B7+\"\r
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\n" ); document.write( "\n" ); document.write( "\"y=%281%2F4%29%28x+%2B6%29%5E2%2B7+\"\r
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