document.write( "Question 116974: What is a transformation that flips a graph or figure across a line? \n" ); document.write( "
Algebra.Com's Answer #85205 by Edwin McCravy(20086)\"\" \"About 
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document.write( "What is a transformation that flips a graph or figure across a line?\r\n" );
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document.write( "To flip f(x) across the x-axis simply multiply the right side of f(x)\r\n" );
document.write( "by -1. That is, form g(x) = -f(x) \r\n" );
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document.write( "To flip f(x) across the y-axis simply substitute -x for x in the right\r\n" );
document.write( "side of f(x). That is, form g(x) = f(-x)\r\n" );
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document.write( "To flip f(x) across the horizontal line y = k, replace x by 2k-x,\r\n" );
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document.write( "that is, form g(x) = f(2k-x)\r\n" );
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document.write( "To flip f(x) across the vertical line x = k, subtract the right side\r\n" );
document.write( "of f(x) from 2k, that is, form g(x) = 2k - f(x)\r\n" );
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document.write( "To flip f(x) across the line y = x, replace f(x) on the left by y,\r\n" );
document.write( "interchange x and y, then solve for y.  Then replace y by g(x).\r\n" );
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document.write( "Flips across other lines are a lot more complicated but can be done.\r\n" );
document.write( "Post again if you need to do that.\r\n" );
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document.write( "Edwin

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