document.write( "Question 903442: How did they change the graph of \r
\n" ); document.write( "\n" ); document.write( "y = f(x)\r
\n" ); document.write( "\n" ); document.write( "by making it: \r
\n" ); document.write( "\n" ); document.write( "(a) y = 2f(x + 8) - 7\r
\n" ); document.write( "\n" ); document.write( "(b) y = 2f(x - 8) + 7 \n" ); document.write( "
Algebra.Com's Answer #548027 by Edwin McCravy(20056)\"\" \"About 
You can put this solution on YOUR website!
How did they change the graph of \r
\n" ); document.write( "\n" ); document.write( "y = f(x)\r
\n" ); document.write( "\n" ); document.write( "by making it: \r
\n" ); document.write( "\n" ); document.write( "y = 2f(x + 8) - 7
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\r\n" );
document.write( "First\r\n" );
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document.write( "1. They replaced x by x+8, which shifted the graph 8 units LEFT.  That gave:\r\n" );
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document.write( "y = f(x + 8)\r\n" );
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document.write( "then\r\n" );
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document.write( "2. They multiplied the right side by a factor of 2, which STRETCHED the graph\r\n" );
document.write( "   vertically by a factor of 2.  That gave:\r\n" );
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document.write( "y = 2f(x + 8)\r\n" );
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document.write( "then\r\n" );
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document.write( "3. They subtracted 7 from the right side, which SHIFTED the graph DOWN by \r\n" );
document.write( "   7 units. That gave\r\n" );
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document.write( "y = 2f(x + 8) - 7\r\n" );
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document.write( "So the correct choice was the middle one:\r\n" );
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document.write( "Shift left 8 units, stretch vertically by a factor of 2, then shift down \r\n" );
document.write( "7 units.\r\n" );
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document.write( "---------------------------\r\n" );
document.write( "

\n" ); document.write( "How did they change the graph of \r
\n" ); document.write( "\n" ); document.write( "y = f(x)\r
\n" ); document.write( "\n" ); document.write( "by making it \r
\n" ); document.write( "\n" ); document.write( "y = 2f(x - 8) + 7
\n" ); document.write( "
\r\n" );
document.write( "First\r\n" );
document.write( "\r\n" );
document.write( "1. They replaced x by x-8, which shifted the graph 8 units RIGHT.\r\n" );
document.write( "   That gave:\r\n" );
document.write( "\r\n" );
document.write( "y = f(x - 8)\r\n" );
document.write( "\r\n" );
document.write( "   then\r\n" );
document.write( "\r\n" );
document.write( "2. They multiplied the right side by a factor of 2, which STRETCHED \r\n" );
document.write( "   the graph vertically by a factor of 2.  That gave:\r\n" );
document.write( "\r\n" );
document.write( "y = 2f(x - 8)\r\n" );
document.write( "\r\n" );
document.write( "then\r\n" );
document.write( "\r\n" );
document.write( "3. They added 7 to the right side, which SHIFTED the graph UP by \r\n" );
document.write( "   7 units. That gave\r\n" );
document.write( "\r\n" );
document.write( "y = 2f(x - 8) + 7\r\n" );
document.write( "\r\n" );
document.write( "So the correct choice was the middle one:\r\n" );
document.write( "\r\n" );
document.write( "Shift right 8 units, stretch vertically by a factor of 2, then shift up\r\n" );
document.write( "7 units.\r\n" );
document.write( "\r\n" );
document.write( "---------------------------\r\n" );
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document.write( "Edwin
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