document.write( "Question 1179834: The graph of a quadratic function passes through the origin and has
\n" ); document.write( "vertex (4, 16).\r
\n" ); document.write( "\n" ); document.write( "Use symmetry to identify one other point that must be on the graph of
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\n" ); document.write( "\n" ); document.write( "Find an equation for this function.
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Algebra.Com's Answer #809422 by MathLover1(20849)\"\" \"About 
You can put this solution on YOUR website!
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\n" ); document.write( "\n" ); document.write( " if a function passes through the origin, we have a point (\"0\",\"0\")
\n" ); document.write( "if the vertex (\"4\", \"16\"), we know that \"h=4\" and \"k=16\"\r
\n" ); document.write( "\n" ); document.write( "using vertex form, we have\r
\n" ); document.write( "\n" ); document.write( "\"y=a%28x-h%29%5E2%2Bk\"..........use given points to calculate \"a\"\r
\n" ); document.write( "\n" ); document.write( "\"0=a%280-4%29%5E2%2B16\"\r
\n" ); document.write( "\n" ); document.write( "\"0=16a%2B16\"\r
\n" ); document.write( "\n" ); document.write( "\"-16=16a\"\r
\n" ); document.write( "\n" ); document.write( "\"a=-1\"\r
\n" ); document.write( "\n" ); document.write( "your function is:\r
\n" ); document.write( "\n" ); document.write( "\"y=-%28x-4%29%5E2%2B16\"\r
\n" ); document.write( "\n" ); document.write( "Use symmetry to identify one other point that must be on the graph of
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\n" ); document.write( "\n" ); document.write( "symmetry axis passes through vertex, so use line of symmetry
\n" ); document.write( "\"x=4\" \r
\n" ); document.write( "\n" ); document.write( "P(\"-2\",\"-20\") and Q(\"10\",\"-20\") are both \"6\" units from the line of symmetry\r
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