document.write( "Question 365215: If a quadratic function has its vertex at point (2,8) and the function passes through point (8,6), what is a,h, and k when written in vertex form if the function is f(x)=a(x-h)^2+k. \n" ); document.write( "
Algebra.Com's Answer #260395 by Edwin McCravy(20056)\"\" \"About 
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If a quadratic function has its vertex at point (2,8) and the function passes through point (8,6), what is a,h, and k when written in vertex form if the function is \"%22f%28x%29%22=a%28x-h%29%5E2%2Bk\".
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document.write( "Since it has vertex (h,k) = (2,8), \r\n" );
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document.write( "h = 2 and k = 8.  That's 2/3rds of what you asked for!  All you\r\n" );
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document.write( "need is \"a\".\r\n" );
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document.write( "\"%22f%28x%29%22=a%28x-2%29%5E2%2B8\".\r\n" );
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document.write( "Since f(x) is the same as y, let's write it:\r\n" );
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document.write( "\"y=a%28x-2%29%5E2%2B8\".\r\n" );
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document.write( "Since it goes through (8,6) we substitute 8 for x, and 6 for y\r\n" );
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document.write( "\"6=a%2A%288-2%29%5E2%2B8\"\r\n" );
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document.write( "\"6=a%2A%286%29%5E2%2B8\"\r\n" );
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document.write( "\"6=a%2A%2836%29%2B8\"\r\n" );
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document.write( "\"6=36a%2B8\"\r\n" );
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document.write( "\"-2=36a\"\r\n" );
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document.write( "\"%28-2%29%2F36=a\"\r\n" );
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document.write( "\"-1%2F18=a\"\r\n" );
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document.write( "Now to check let's draw the graph of\r\n" );
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document.write( "\"%22f%28x%29%22=expr%28-1%2F18%29%28x-2%29%5E2%2B8\".\r\n" );
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document.write( "Edwin
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