document.write( "Question 1165515: Explain why the graph of the equation g(x)=-(x+1)^2-3 would be a parabola opening downward.
\n" ); document.write( "The parabola opens downwards since a= and this value is 0.
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Algebra.Com's Answer #790001 by Edwin McCravy(20055)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "Your error is that \"a\" is not 0, it's -1, because if you square the\r\n" );
document.write( "parentheses and collect terms, you get\r\n" );
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document.write( "\"%22g%28x%29%22=-%28x%2B1%29%5E2-3\"\r\n" );
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document.write( "\"%22g%28x%29%22=-%28x%2B1%29%28x%2B1%29-3\"\r\n" );
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document.write( "\"%22g%28x%29%22=-%28x%5E2%2Bx%2Bx%2B1%29-3\"\r\n" );
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document.write( "\"%22g%28x%29%22=-%28x%5E2%2B2x%2B1%29-3\"\r\n" );
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document.write( "The - sign changes all the signs inside the parentheses:\r\n" );
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document.write( "\"%22g%28x%29%22=-x%5E2-2x-1-3\"\r\n" );
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document.write( "\"%22g%28x%29%22=-x%5E2-2x-4\"\r\n" );
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document.write( "\"%22g%28x%29%22=-1x%5E2-2x-4\"\r\n" );
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document.write( "So you see \"a\" is not 0, it's -1.\r\n" );
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document.write( "I multiplied it all out to show you that a =-1, not 0. But you \r\n" );
document.write( "can tell it is -1 without multiplying it out if you think about it.\r\n" );
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document.write( "Edwin
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