document.write( "Question 1145166: Transform the function f(x) as described and write the resulting function as an equation\r
\n" ); document.write( "\n" ); document.write( "f(x)=x^2
\n" ); document.write( " Translate left 2 units
\n" ); document.write( "stretch horizontally by a factor of 2
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\n" ); document.write( "stretch vertically by a factor of 3
\n" ); document.write( "translate up 4 units \n" ); document.write( "
Algebra.Com's Answer #766375 by Edwin McCravy(20056)\"\" \"About 
You can put this solution on YOUR website!
Transform the function f(x) as described and write the resulting function as an equation\r
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\n" ); document.write( " Translate left 2 units
\n" ); document.write( "stretch horizontally by a factor of 2
\n" ); document.write( "reflect over the x-axis
\n" ); document.write( "stretch vertically by a factor of 3
\n" ); document.write( "translate up 4 units
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\r\n" );
document.write( "Start with \r\n" );
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document.write( "\"f%28x%29=x%5E2\" <--the red graph\r\n" );
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document.write( "\"graph%28400%2C400%2C-10%2C10%2C-10%2C10%2Cx%5E2%29\"\r\n" );
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Translate left 2 units
\r\n" );
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document.write( "replace x by (x+2)\r\n" );
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document.write( "\"g%28x%29+=+%28x%2B2%29%5E2\" <--the green graph\r\n" );
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document.write( "\"graph%28400%2C400%2C-10%2C10%2C-10%2C10%2Cx%5E2%2C%28x%2B2%29%5E2%29\"\r\n" );
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stretch horizontally by a factor of 2
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document.write( "Replace x by x/2\r\n" );
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document.write( "\"h%28x%29+=+%28x%2F2%2B2%29%5E2\" <--the blue graph\r\n" );
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document.write( "\"graph%28400%2C400%2C-10%2C10%2C-10%2C10%2Cx%5E2%2C%28x%2B2%29%5E2%2C%28x%2F2%2B2%29%5E2%29\"\r\n" );
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reflect over the x-axis
\r\n" );
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document.write( "Multiply the whole right side by -1\r\n" );
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document.write( "\"k%28x%29=-%28x%2F2%2B2%29%5E2\" <--the purple graph (it opens downward)\r\n" );
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stretch vertically by a factor of 3
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document.write( "Multiply the whole right side by 3.\r\n" );
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document.write( "\"m%28x%29=-3%28x%2F2%2B2%29%5E2\" <---the yelowish-green graph (opens downward)\r\n" );
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translate up 4 units
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document.write( "Add +4 to the whole right side:\r\n" );
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document.write( "\"m%28x%29=-3%28x%2F2%2B2%29%5E2%2B4\" <---the light blue graph.\r\n" );
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document.write( "Edwin
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