document.write( "Question 1157027: Please help me list the directions,vertex, axis of symmetry, table of 5 points, graph ?
\n" ); document.write( "1.F(x)= -1/2x^2
\n" ); document.write( "2.F(x)=2(x+1)^2-3
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Algebra.Com's Answer #779848 by MathLover1(20850)\"\" \"About 
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1.
\n" ); document.write( "\"F%28x%29=+-%281%2F2%29x%5E2\"\r
\n" ); document.write( "\n" ); document.write( "compare to \"F%28x%29=+a%28x-h%29%5E2%2Bk\"\r
\n" ); document.write( "\n" ); document.write( "from given formula you see that \"h=0\" and \"k=0\", so vertex is at (\"0\",\"0\")
\n" ); document.write( "the \"vertical\" line that goes through the vertex
\n" ); document.write( "\"x=+0\"\r
\n" ); document.write( "\n" ); document.write( "directrix:
\n" ); document.write( "\"y=0-%28-1%2F2%29\"
\n" ); document.write( "\"y=1%2F2\"\r
\n" ); document.write( "\n" ); document.write( "table:\r
\n" ); document.write( "\n" ); document.write( "\"x\"|\"y\"
\n" ); document.write( "\"0\"|\"0\"
\n" ); document.write( "\"1\"|\"-1%2F2\"
\n" ); document.write( "\"2\"|\"-2\"
\n" ); document.write( "\"4\"|\"-8\"
\n" ); document.write( "\"-2\"|\"-2\"\r
\n" ); document.write( "\n" ); document.write( "\r
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\n" ); document.write( "\n" ); document.write( "2.\r
\n" ); document.write( "\n" ); document.write( "\"F%28x%29=2%28x%2B1%29%5E2-3\"\r
\n" ); document.write( "\n" ); document.write( "compare to \"F%28x%29=+a%28x-h%29%5E2%2Bk\"\r
\n" ); document.write( "\n" ); document.write( "from given formula you see that \"h=-1\" and \"k=-3\", so vertex is at (\"-1\",\"-3\")
\n" ); document.write( "the \"vertical\" line that goes through the vertex
\n" ); document.write( "\"x=+-1\"\r
\n" ); document.write( "\n" ); document.write( "directrix:
\n" ); document.write( "\"y=+2%28x%2B1%29%5E2-3\"
\n" ); document.write( "\"%281%2F2%29%28y%2B3%29=+%28x%2B1%29%5E2\"...since \"4p=1%2F2\"=>\"p=1%2F8\"\r
\n" ); document.write( "\n" ); document.write( "\"y=-3-p\"
\n" ); document.write( "\"y=-3-1%2F8\"
\n" ); document.write( "\"y=-25%2F8\"\r
\n" ); document.write( "\n" ); document.write( "table:\r
\n" ); document.write( "\n" ); document.write( "\"x\"|\"y\"
\n" ); document.write( "\"-1\"|\"-3\"
\n" ); document.write( "\"1\"|\"5\"
\n" ); document.write( "\"-3\"|\"5\"
\n" ); document.write( "\"0\"|\"-1\"
\n" ); document.write( "\"-2\"|\"-1\"\r
\n" ); document.write( "\n" ); document.write( "\r
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