document.write( "Question 1203642: The points are (10,-2) find new points after the tranformation y = -3f(1/4(x-1)) + 5 \n" ); document.write( "
Algebra.Com's Answer #839369 by Edwin McCravy(20055)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "\"y+=+-3f%28expr%281%2F4%29%28x-1%29%29%2B5\"\r\n" );
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document.write( "\"%22f%28%22\"\"expr%281%2F4%29x\"\"%22%29%22\" \r\n" );
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document.write( "This is multiplying the variable x only by a number < 1 which stretches the\r\n" );
document.write( "graph horizontally by a factor of 4, which stretches the point (10,-2)\r\n" );
document.write( "horizontally to (40,-2).\r\n" );
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document.write( "\"%22f%28%22\"\"expr%281%2F4%29%28x-1%29\"\"%22%29%22\" \r\n" );
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document.write( "This is subtracting 1 from the variable x only by 1 which shifts the graph \r\n" );
document.write( "horizontally 1 unit right, which shifts the point (40,-2) to (40,-1).\r\n" );
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document.write( "\"3\"\"%22f%28%22\"\"expr%281%2F4%29%28x-1%29\"\"%22%29%22\" \r\n" );
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document.write( "This is multiplying the entire function by 3 which stretches the graph\r\n" );
document.write( "vertically by a factor of 3 and stretches the point (40,-1) to (40,-3)\r\n" );
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document.write( "\"-3\"\"%22f%28%22\"\"expr%281%2F4%29%28x-1%29\"\"%22%29%22\" \r\n" );
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document.write( "This is multiplying the entire function by -1 which reflects the graph\r\n" );
document.write( "vertically across the x-axis, which moves the point (40,-3) vertically across\r\n" );
document.write( "the x-axis to (40,3).\r\n" );
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document.write( "\"-3\"\"%22f%28%22\"\"expr%281%2F4%29%28x-1%29\"\"%22%29%22\"\"%22%22%2B%22%22\"\"5\" \r\n" );
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document.write( "This is adding 5 to the entire function which shifts the graph vertically upward\r\n" );
document.write( "by 5 units, which moves the point (40,3) vertically upward to (40,8).\r\n" );
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document.write( "Edwin

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