document.write( "Question 1028572: Find the sequence of transformations which takes the graph
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Algebra.Com's Answer #643815 by AnlytcPhil(1810)\"\" \"About 
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document.write( "Before we can do the transformations, we must change the \r\n" );
document.write( "form of the final result to show the shrinking and \r\n" );
document.write( "shifting required:\r\n" );
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document.write( " \"y=2%2F%284x%2B3%29%5E2\"\"%22%22-%22%22\"\"1\"\r\n" );
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document.write( "We factor 4 out in the parentheses in the denominator,\r\n" );
document.write( "in spite of the fact that it involve a fraction:\r\n" );
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document.write( "\"y=2%5E%22%22%2F%284%28x%2B3%2F4%29%29%5E2\"\"%22%22-%22%22\"\"1\" \r\n" );
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document.write( "Then we square the 4\r\n" );
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document.write( "\"y=2%5E%22%22%2F%2816%28x%2B3%2F4%29%5E2%29\"\"%22%22-%22%22\"\"1\"\r\n" );
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document.write( "Then we cancel the 2 into the 16\r\n" );
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document.write( "\"y=1%5E%22%22%2F%288%28x%2B3%2F4%29%5E2%29\"\"%22%22-%22%22\"\"1\" \r\n" );
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document.write( "Then we consider the division by 8 as a multiplication\r\n" );
document.write( "by 1/8:\r\n" );
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document.write( "\"y=expr%281%5E%22%22%2F8%5E%22%22%29%2A%281%2F%28x%2B3%2F4%29%5E2%29\"\"%22%22-%22%22\"\"1\"\r\n" );
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document.write( "Now we can begin the transformations:\r\n" );
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document.write( "\"y=1%2Fx%5E2\" to \"y=expr%281%5E%22%22%2F8%5E%22%22%29%2A%281%2F%28x%2B3%2F4%29%5E2%29\"\"%22%22-%22%22\"\"1\"\r\n" );
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document.write( "Begin with this red graph: \"graph%28300%2C300%2C-5%2C5%2C-5%2C5%2C1%2Fx%5E2%29\"\r\n" );
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document.write( "Shift left by 3/4 by replacing \"x\" by \"%28x%2B3%2F4%29\"\r\n" );
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document.write( "\"y=1%2F%28x%2B3%2F4%29%5E2%29\"\r\n" );
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document.write( "That's this green graph: \"graph%28300%2C300%2C-5%2C5%2C-5%2C5%2C1%2Fx%5E2%2C1%2F%28x%2B3%2F4%29%5E2%29%29\"\r\n" );
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document.write( "Shrink by a factor of 1/8, a shrink because 1/8 < 1\r\n" );
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document.write( "\"y=expr%281%5E%22%22%2F8%5E%22%22%29%2A%281%2F%28x%2B3%2F4%29%5E2%29\"\r\n" );
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document.write( "That's this blue graph: \r\n" );
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document.write( "Shift downward 1 unit by subtracting 1 from the whole right side:\r\n" );
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document.write( "\"y=expr%281%5E%22%22%2F8%5E%22%22%29%2A%281%2F%28x%2B3%2F4%29%5E2%29\"\"%22%22-%22%22\"\"1\"\r\n" );
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document.write( "That's this wine-colored graph at the bottom: \r\n" );
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document.write( "Edwin
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