document.write( "Question 125323: What is the equation of the axis of symmetry of the function y=-2x^2-20x-47? I think the answer is x=-5 but I'm not sure. Can someone please explain? \n" ); document.write( "
Algebra.Com's Answer #91845 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!
To find the axis of symmetry, use this formula:\r
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\n" ); document.write( "\n" ); document.write( "\"x=-b%2F%282a%29\"\r
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\n" ); document.write( "\n" ); document.write( "From the equation \"y=-2x%5E2-20x-47\" we can see that a=-2 and b=-20\r
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\n" ); document.write( "\n" ); document.write( "\"x=%28--20%29%2F%282%2A-2%29\" Plug in b=-20 and a=-2\r
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\n" ); document.write( "\n" ); document.write( "\"x=20%2F%282%2A-2%29\" Negate -20 to get 20\r
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\n" ); document.write( "\n" ); document.write( "\"x=%2820%29%2F-4\" Multiply 2 and -2 to get -4\r
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\n" ); document.write( "\n" ); document.write( "\"x=-5\" Reduce\r
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\n" ); document.write( "\n" ); document.write( "So the axis of symmetry is \"x=-5\" which means that you are correct.
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